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Articles de revues sur le sujet « Holomorphic curvature »

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Auteur : Grafiati
Publié le 10 mars 2023

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1

Ali, Danish, Johann Davidov et Oleg Mushkarov. « Holomorphic curvatures of twistor spaces ». International Journal of Geometric Methods in Modern Physics 11, no 03 (mars 2014) : 1450022. http://dx.doi.org/10.1142/s0219887814500224.

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We study the twistor spaces of oriented Riemannian 4-manifolds as a source of almost Hermitian 6-manifolds of constant or strictly positive holomorphic, Hermitian and orthogonal bisectional curvatures. In particular, we obtain explicit formulas for these curvatures in the case when the base manifold is Einstein and self-dual, and observe that the "squashed" metric on ℂℙ3 is a non-Kähler Hermitian–Einstein metric of positive holomorphic bisectional curvature. This shows that a recent result of Kalafat and Koca [M. Kalafat and C. Koca, Einstein–Hermitian 4-manifolds of positive bisectional curvature, preprint (2012), arXiv: 1206.3941v1 [math.DG]] in dimension four cannot be extended to higher dimensions. We prove that the Hermitian bisectional curvature of a non-Kähler Hermitian manifold is never a nonzero constant which gives a partial negative answer to a question of Balas and Gauduchon [A. Balas and P. Gauduchon, Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kähler, Math. Z.190 (1985) 39–43]. Finally, motivated by an integrability result of Vezzoni [L. Vezzoni, On the Hermitian curvature of symplectic manifolds, Adv. Geom.7 (2007) 207–214] for almost Kähler manifolds, we study the problem when the holomorphic and the Hermitian bisectional curvatures of an almost Hermitian manifold coincide. We extend the result of Vezzoni to a more general class of almost Hermitian manifolds and describe the twistor spaces having this curvature property.
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2

Decu, Simona, Stefan Haesen et Leopold Verstraelen. « Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature ». Mathematics 8, no 2 (14 février 2020) : 251. http://dx.doi.org/10.3390/math8020251.

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In this paper, we prove some inequalities in terms of the normalized δ -Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds in holomorphic statistical manifolds with constant holomorphic sectional curvature. Moreover, we study the equality cases of such inequalities. An example on these submanifolds is presented.
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3

SIDDIQUI, ALIYA NAAZ, et MOHAMMAD HASAN SHAHID. « Optimizations on Statistical Hypersurfaces with Casorati Curvatures ». Kragujevac Journal of Mathematics 45, no 03 (mai 2021) : 449–63. http://dx.doi.org/10.46793/kgjmat2103.449s.

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In the present paper, we study Casorati curvatures for statistical hypersurfaces. We show that the normalized scalar curvature for any real hypersurface (i.e., statistical hypersurface) of a holomorphic statistical manifold of constant holomorphic sectional curvature k is bounded above by the generalized normalized δ−Casorati curvatures and also consider the equality case of the inequality. Some immediate applications are discussed.
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4

Jain, Varun, Rachna Rani, Rakesh Kumar et R. K. Nagaich. « Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifolds ». International Journal of Geometric Methods in Modern Physics 14, no 03 (14 février 2017) : 1750034. http://dx.doi.org/10.1142/s0219887817500347.

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We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Sasakian manifold and obtain some characterization theorems on holomorphic sectional and holomorphic bisectional curvature.
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5

Kumar, Sangeet, Rakesh Kumar et R. K. Nagaich. « Characterization of Holomorphic Bisectional Curvature ofGCR-Lightlike Submanifolds ». Advances in Mathematical Physics 2012 (2012) : 1–18. http://dx.doi.org/10.1155/2012/356263.

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We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of aGCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature ofGCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for aGCR-lightlike submanifold of an indefinite complex space form to be null holomorphically flat. We also obtain some characterization theorems for holomorphic sectional and holomorphic bisectional curvature.
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6

Sekigawa, Kouei, et Takashi Koda. « Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature ». Glasgow Mathematical Journal 37, no 3 (septembre 1995) : 343–49. http://dx.doi.org/10.1017/s0017089500031621.

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Let M = (M, J, g) be an almost Hermitian manifold and U(M)the unit tangent bundle of M. Then the holomorphic sectional curvature H = H(x) can be regarded as a differentiable function on U(M). If the function H is constant along each fibre, then M is called a space of pointwise constant holomorphic sectional curvature. Especially, if H is constant on the whole U(M), then M is called a space of constant holomorphic sectional curvature. An almost Hermitian manifold with an integrable almost complex structure is called a Hermitian manifold. A real 4-dimensional Hermitian manifold is called a Hermitian surface. Hermitian surfaces of pointwise constant holomorphic sectional curvature have been studied by several authors (cf. [2], [3], [5], [6] and so on).
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7

Yu, Chengjie. « A Liouville Property of Holomorphic Maps ». Scientific World Journal 2013 (2013) : 1–3. http://dx.doi.org/10.1155/2013/265752.

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We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.
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8

Vanithalakshmi, S. M., S. K. Narasimhamurthy et M. K. Roopa. « On Holomorphic Curvature of Complex Finsler with special (α, β)−Metric ». Journal of the Tensor Society 12, no 01 (30 juin 2007) : 33–48. http://dx.doi.org/10.56424/jts.v12i01.10593.

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The notion of the holomorphic curvature for a Complex Finsler space (M, F) is defined with respect to the Chern complex linear connection on the pull-back tangent bundle. This paper is about the fundamental metric tensor, inverse tensor and as a special approach of the pull-back bundle is devoted to obtain the Riemannian curvature and holomorphic curvature of Complex Finsler with special (α, β)-metric
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9

Abu-Saleem, Ahmad, A. R. Rustanov et S. V. Kharitonova. « AXIOM OF Φ-HOLOMORPHIC (2r+1)-PLANES FOR GENERALIZED KENMOTSU MANIFOLDS ». Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no 66 (2020) : 5–23. http://dx.doi.org/10.17223/19988621/66/1.

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In this paper we study generalized Kenmotsu manifolds (shortly, a GK-manifold) that satisfy the axiom of Φ-holomorphic (2r+1)-planes. After the preliminaries we give the definition of generalized Kenmotsu manifolds and the full structural equation group. Next, we define Φ- holomorphic generalized Kenmotsu manifolds and Φ-paracontact generalized Kenmotsu manifold give a local characteristic of this subclasses. The Φ-holomorphic generalized Kenmotsu manifold coincides with the class of almost contact metric manifolds obtained from closely cosymplectic manifolds by a canonical concircular transformation of nearly cosymplectic structure. A Φ- paracontact generalized Kenmotsu manifold is a special generalized Kenmotsu manifold of the second kind. An analytical expression is obtained for the tensor of Ф-holomorphic sectional curvature of generalized Kenmotsu manifolds of the pointwise constant Φ-holomorphic sectional curvature. Then we study the axiom of Φ-holomorphic (2r+1)-planes for generalized Kenmotsu manifolds and propose a complete classification of simply connected generalized Kenmotsu manifolds satisfying the axiom of Φ-holomorphic (2r+1)-planes. The main results are as follows. A simply connected GK-manifold of pointwise constant Φ-holomorphic sectional curvature satisfying the axiom of Φ-holomorphic (2r+1)-planes is a Kenmotsu manifold. A GK-manifold satisfies the axiom of Φ-holomorphic (2r+1)-planes if and only if it is canonically concircular to one of the following manifolds: (1) CPn×R; (2) Cn×R; and (3) CHn×R having the canonical cosymplectic structure.
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10

Druţă-Romaniuc, S. L. « A Study on the Para-Holomorphic Sectional Curvature of Para-Kähler Cotangent Bundles ». Annals of the Alexandru Ioan Cuza University - Mathematics 61, no 1 (1 janvier 2015) : 253–62. http://dx.doi.org/10.2478/aicu-2014-0033.

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Abstract We obtain the conditions under which the total space T *M of the cotangent bundle, endowed with a natural diagonal para-Kähler structure (G, P), has constant para-holomorphic sectional curvature. Moreover we prove that (T *M,G, P) cannot have nonzero constant para-holomorphic sectional curvature.
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11

Zhong, ChunPing. « Holomorphic curvature of complex Finsler submanifolds ». Science China Mathematics 53, no 2 (27 août 2009) : 261–74. http://dx.doi.org/10.1007/s11425-009-0044-4.

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12

Mantz, Christiaan L. M., et Tomislav Prokopec. « Resolving Curvature Singularities in Holomorphic Gravity ». Foundations of Physics 41, no 10 (4 juin 2011) : 1597–633. http://dx.doi.org/10.1007/s10701-011-9570-3.

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13

CHEN, BIN, et YIBING SHEN. « ON COMPLEX RANDERS METRICS ». International Journal of Mathematics 21, no 08 (août 2010) : 971–86. http://dx.doi.org/10.1142/s0129167x10006367.

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A characteristic for a complex Randers metric to be a complex Berwald metric is obtained. The formula of the holomorphic curvature for complex Randers metrics is given. It is shown that a complex Berwald Randers metric with isotropic holomorphic curvature must be either usually Kählerian or locally Minkowskian. The Deicke and Brickell theorems in complex Finsler geometry are also proved.
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14

Abood, Habeeb Mtashar, et Farah Al-Hussaini. « Locally Conformal Almost Cosymplectic Manifold of Φ-holomorphic Sectional Conharmonic Curvature Tensor ». European Journal of Pure and Applied Mathematics 11, no 3 (31 juillet 2018) : 671–81. http://dx.doi.org/10.29020/nybg.ejpam.v11i3.3261.

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The aim of the present paper is to study the geometry of locally conformal almost cosymplectic manifold of Φ-holomorphic sectional conharmonic curvature tensor. In particular, the necessaryand sucient conditions in which that locally conformal almost cosymplectic manifold is a manifold of point constant Φ-holomorphic sectional conharmonic curvature tensor have been found. The relation between the mentioned manifold and the Einstein manifold is determined.
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15

Mok, Ngaiming. « On holomorphic immersions into kähler manifolds of constant holomorphic sectional curvature ». Science in China Series A : Mathematics 48, S1 (décembre 2005) : 123–45. http://dx.doi.org/10.1007/bf02884700.

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16

Siddiqui, Aliya, et Mohammad Shahid. « On totally real statistical submanifolds ». Filomat 32, no 13 (2018) : 4473–83. http://dx.doi.org/10.2298/fil1813473s.

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In the present paper, first we prove some results by using fundamental properties of totally real statistical submanifolds immersed into holomorphic statistical manifolds. Further, we obtain the generalizedWintgen inequality for Lagrangian statistical submanifolds of holomorphic statistical manifolds with constant holomorphic sectional curvature c. The paper finishes with some geometric consequences of obtained results.
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17

Shen, Bin. « Holomorphic Vanishing Theorems on Finsler Holomorphic Vector Bundles and Complex Finsler Manifolds ». Canadian Mathematical Bulletin 62, no 3 (9 novembre 2018) : 623–41. http://dx.doi.org/10.4153/s0008439518000127.

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AbstractIn this paper, we investigate the holomorphic sections of holomorphic Finsler bundles over both compact and non-compact complete complex manifolds. We also inquire into the holomorphic vector fields on compact and non-compact complete complex Finsler manifolds. We get vanishing theorems in each case according to different certain curvature conditions. This work can be considered as generalizations of the classical results on Kähler manifolds and hermitian bundles.
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18

Rao, Pei Pei, et Fang Yang Zheng. « Pluriclosed Manifolds with Constant Holomorphic Sectional Curvature ». Acta Mathematica Sinica, English Series 38, no 6 (juin 2022) : 1094–104. http://dx.doi.org/10.1007/s10114-022-1046-1.

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19

Gadea, Pedro, et Ángel Montesinos-Amilibia. « Spaces of constant para-holomorphic sectional curvature ». Pacific Journal of Mathematics 136, no 1 (1 janvier 1989) : 85–101. http://dx.doi.org/10.2140/pjm.1989.136.85.

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20

Wong, Pit-Mann, Damin Wu et Shing-Tung Yau. « Picard number, holomorphic sectional curvature, and ampleness ». Proceedings of the American Mathematical Society 140, no 2 (1 février 2012) : 621–26. http://dx.doi.org/10.1090/s0002-9939-2011-10928-6.

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21

McNeal, Jeffery D. « Holomorphic sectional curvature of some pseudoconvex domains ». Proceedings of the American Mathematical Society 107, no 1 (1 janvier 1989) : 113. http://dx.doi.org/10.1090/s0002-9939-1989-0979051-x.

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22

Wan, Xueyuan. « Holomorphic Sectional Curvature of Complex Finsler Manifolds ». Journal of Geometric Analysis 29, no 1 (25 janvier 2018) : 194–216. http://dx.doi.org/10.1007/s12220-018-9985-6.

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23

Wu, Damin, et Shing-Tung Yau. « Negative holomorphic curvature and positive canonical bundle ». Inventiones mathematicae 204, no 2 (23 août 2015) : 595–604. http://dx.doi.org/10.1007/s00222-015-0621-9.

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24

Chinak, M. A. « Curvature and holomorphic sections of Hermitian bundles ». Siberian Mathematical Journal 30, no 5 (1990) : 823–29. http://dx.doi.org/10.1007/bf00971276.

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25

Sato, Takuji, et Kouei Sekigawa. « Hermitian surfaces of constant holomorphic sectional curvature ». Mathematische Zeitschrift 205, no 1 (septembre 1990) : 659–68. http://dx.doi.org/10.1007/bf02571270.

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26

Abate, Marco, et Giorgio Patrizio. « Kähler Finsler Manifolds of Constant Holomorphic Curvature ». International Journal of Mathematics 08, no 02 (mars 1997) : 169–86. http://dx.doi.org/10.1142/s0129167x97000081.

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27

Yang, Bo, et Fangyang Zheng. « Hirzebruch manifolds and positive holomorphic sectional curvature ». Annales de l'Institut Fourier 69, no 6 (2019) : 2589–634. http://dx.doi.org/10.5802/aif.3303.

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28

JELONEK, WLODZIMIERZ. « KÄHLER SURFACES WITH QUASI CONSTANT HOLOMORPHIC CURVATURE ». Glasgow Mathematical Journal 58, no 2 (21 juillet 2015) : 503–12. http://dx.doi.org/10.1017/s0017089515000312.

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29

Jelonek, Włodzimierz. « Kähler manifolds with quasi-constant holomorphic curvature ». Annals of Global Analysis and Geometry 36, no 2 (6 février 2009) : 143–59. http://dx.doi.org/10.1007/s10455-009-9154-z.

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30

Jelonek, Włodzimierz. « Kähler manifolds with quasi-constant holomorphic curvature ». Annals of Global Analysis and Geometry 35, no 4 (27 mars 2009) : 443. http://dx.doi.org/10.1007/s10455-009-9161-0.

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31

Chen, Xiaoyang. « Stein manifolds of nonnegative curvature ». Advances in Geometry 18, no 3 (26 juillet 2018) : 285–87. http://dx.doi.org/10.1515/advgeom-2016-0025.

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AbstractLet X bea Stein manifold with an anti-holomorphic involution τ and nonempty compact fixed point set Xτ. We show that X is diffeomorphic to the normal bundle of Xτ provided that X admits a complete Riemannian metric g of nonnegative sectional curvature such that τ*g = g.
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32

ANDERSEN, JØRGEN ELLEGAARD, et KENJI UENO. « ABELIAN CONFORMAL FIELD THEORY AND DETERMINANT BUNDLES ». International Journal of Mathematics 18, no 08 (septembre 2007) : 919–93. http://dx.doi.org/10.1142/s0129167x07004369.

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Following [10], we study a so-called bc-ghost system of zero conformal dimension from the viewpoint of [14, 16]. We show that the ghost vacua construction results in holomorphic line bundles with connections over holomorphic families of curves. We prove that the curvature of these connections are up to a scale the same as the curvature of the connections constructed in [14, 16]. We study the sewing construction for nodal curves and its explicit relation to the constructed connections. Finally we construct preferred holomorphic sections of these line bundles and analyze their behaviour near nodal curves. These results are used in [4] to construct modular functors form the conformal field theories given in [14, 16] by twisting with an appropriate factional power of this Abelian theory.
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33

Li, Jiayu, et Liuqing Yang. « Symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvatures ». Geometriae Dedicata 170, no 1 (24 mai 2013) : 63–69. http://dx.doi.org/10.1007/s10711-013-9867-9.

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34

INNAMI, NOBUHIRO, YOE ITOKAWA et KATSUHIRO SHIOHAMA. « COMPLETE REAL HYPERSURFACES AND SPECIAL 𝕂-LINE BUNDLES IN 𝕂-HYPERBOLIC SPACES ». International Journal of Mathematics 24, no 10 (septembre 2013) : 1350082. http://dx.doi.org/10.1142/s0129167x13500821.

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Using the geometry of geodesics, we discuss the global aspects of complete real hypersurfaces in hyperbolic spaces of constant holomorphic sectional curvature [Formula: see text] over any division algebra 𝕂. Our assumption is that the shape operator and the curvature transformation with respect to the normal unit have the same eigenspaces. Note that we do not assume constancy of the principal curvatures. Under this assumption, we give a complete global classification of such hypersurfaces. Since the argument is purely geometric, we need not vary the argument for different base algebras. The foliations of [Formula: see text] with totally geodesic leaves called 𝕂-lines play an important role.
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35

Bashir, M. A. « On totally umbilicalCR-submanifolds of a Kaehler manifold ». International Journal of Mathematics and Mathematical Sciences 16, no 2 (1993) : 405–8. http://dx.doi.org/10.1155/s016117129300050x.

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LetMbe a compact3-dimensional totally umbilicalCR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector ofMdoes not vanish, thenMis either diffeomorphic toS3orRP3or a lens spaceLp,q3.
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36

Oproiu, Vasile. « A Kähler Einstein structure on the tangent bundle of a space form ». International Journal of Mathematics and Mathematical Sciences 25, no 3 (2001) : 183–95. http://dx.doi.org/10.1155/s0161171201002009.

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We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive curvature.
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37

SIMANCA, SANTIAGO R. « PRECOMPACTNESS OF THE CALABI ENERGY ». International Journal of Mathematics 07, no 02 (avril 1996) : 245–54. http://dx.doi.org/10.1142/s0129167x96000141.

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For any complex manifold of Kähler type, the L2-norm of the scalar curvature of an extremal Kähler metric is a continuous function of the Kähler class. In particular, if a convergent sequence of Kähler classes are represented by extremal Kähler metrics, the corresponding sequence of L2-norms of the scalar curvatures is convergent. Similarly, the sequence of holomorphic vector fields associated with a sequence of extremal Kähler metrics with converging Kähler classes is convergent.
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38

HARRIS, ADAM, et YOSHIHIRO TONEGAWA. « ANALYTIC CONTINUATION OF VECTOR BUNDLES WITH Lp –CURVATURE ». International Journal of Mathematics 11, no 01 (février 2000) : 29–40. http://dx.doi.org/10.1142/s0129167x00000040.

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This article addresses the problem of removable singularities for a Hermitian-holomorphic vector bundle ℰ, defined on the complement of an analytic set A of complex codimension at least two in a complex n-dimensional manifold X. In particular it is shown here that there exists a unique holomorphic bundle [Formula: see text] on X, such that [Formula: see text], when the curvature of ℰ belongs to Ln (X\A). This result is in fact sharp, as counterexamples exist for the extensibility of ℰ with curvature in Lp, p < n. Extension across general closed subsets of finite (2n - 4)-dimensional Hausdorff measure then follows directly from a slicing theorem of Bando and Siu.
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39

YAN, RONGMU. « COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE ». Glasgow Mathematical Journal 50, no 2 (mai 2008) : 203–8. http://dx.doi.org/10.1017/s001708950800414x.

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AbstractIn this paper, we prove that a strongly convex and Kähler-Finsler metric is a complex Berwald metric with zero holomorphic sectional curvature if and only if it is a complex locally Minkowski metric.
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40

SATO, TAKUJI, et KOUEI SEKIGAWA. « HERMITIAN SURFACES OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE II ». Tamkang Journal of Mathematics 23, no 2 (1 juin 1992) : 137–43. http://dx.doi.org/10.5556/j.tkjm.23.1992.4536.

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The present paper ss a continuation of our previous work [7]. We shall prove that a compact Hernutian surface of pointwise positive constant holomorphic sectional curvature is biholomorphica.lly equivalent to a complex projective surface.
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41

Ahmad, Abu-Saleem, Ivan Kochetkov et Aligadzhi Rustanov. « Curvature Identities for Generalized Kenmotsu Manifolds ». E3S Web of Conferences 244 (2021) : 09005. http://dx.doi.org/10.1051/e3sconf/202124409005.

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In the present paper we obtained 2 identities, which are satisfied by Riemann curvature tensor of generalized Kenmotsu manifolds. There was obtained an analytic expression for third structure tensor or tensor of f-holomorphic sectional curvature of GK-manifold. We separated 2 classes of generalized Kenmotsu manifolds and collected their local characterization.
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42

Harris, Adam, et Martin Kolář. « On Hyperbolicity of Domains with Strictly Pseudoconvex Ends ». Canadian Journal of Mathematics 66, no 1 (février 2014) : 197–204. http://dx.doi.org/10.4153/cjm-2012-036-4.

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AbstractThis article establishes a sufficient condition for Kobayashi hyperbolicity of unbounded domains in terms of curvature. Specifically, when Ω ⊂ ℂn corresponds to a sub-level set of a smooth, real-valued function Ψ such that the form ω = is Kähler and has bounded curvature outside a bounded subset, then this domain admits a hermitian metric of strictly negative holomorphic sectional curvature.
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43

Siddiqui, Aliya, Falleh Al-Solamy, Mohammad Shahid et Ion Mihaid. « On CR-statistical submanifolds of holomorphic statistical manifolds ». Filomat 35, no 11 (2021) : 3571–84. http://dx.doi.org/10.2298/fil2111571s.

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In the present paper, weinvestigate some properties of the distributions involved in the definition of a CR-statistical submanifold. The characterization of a CR-product in holomorphic statistical manifolds is given. By using an optimization technique, we establish a relationship between the Ricci curvature and the squared norm of the mean curvature of any submanifold in the same ambient space. The equality case is also discussed here. This paper finishes with some related examples.
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44

LeBrun, Claude. « Einstein metrics, conformal curvature, and anti-holomorphic involutions ». Annales mathématiques du Québec 45, no 2 (19 février 2021) : 391–405. http://dx.doi.org/10.1007/s40316-020-00154-2.

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45

Vanithalakshmi, Sarathi Mallappa, Senajji Kampalappa Narasimhamurhthy et Mallappa Kariyappa Roopa. « On Holomorphic Curvature of Complex Finsler Square Metric ». Advances in Pure Mathematics 09, no 09 (2019) : 745–61. http://dx.doi.org/10.4236/apm.2019.99035.

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Pinney, Karen R. « Ricci Curvature and Holomorphic Convexity in Kahler Manifolds ». Proceedings of the American Mathematical Society 121, no 4 (août 1994) : 1211. http://dx.doi.org/10.2307/2161234.

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Sato, Takuji. « Almost Kahler manifolds of constant holomorphic sectional curvature ». Tsukuba Journal of Mathematics 20, no 2 (décembre 1996) : 517–24. http://dx.doi.org/10.21099/tkbjm/1496163099.

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Berndtsson, Bo. « Curvature of vector bundles associated to holomorphic fibrations ». Annals of Mathematics 169, no 2 (1 mars 2009) : 531–60. http://dx.doi.org/10.4007/annals.2009.169.531.

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TSUJI, Tadashi. « Homogeneous Siegel Domains of Nonpositive Holomorphic Bisectional Curvature ». Tokyo Journal of Mathematics 14, no 2 (décembre 1991) : 439–51. http://dx.doi.org/10.3836/tjm/1270130384.

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Sekigawa, Kouei, et Takuji Sato. « Nearly Kähler manifolds with positive holomorphic sectional curvature ». Kodai Mathematical Journal 8, no 2 (1985) : 139–56. http://dx.doi.org/10.2996/kmj/1138037043.

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