Littérature scientifique sur le sujet « Kähler metric »
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Articles de revues sur le sujet "Kähler metric"
Kawamura, Masaya. « On Kähler-like and G-Kähler-like almost Hermitian manifolds ». Complex Manifolds 7, no 1 (3 avril 2020) : 145–61. http://dx.doi.org/10.1515/coma-2020-0009.
Texte intégralCalderbank, David M. J., Vladimir S. Matveev et Stefan Rosemann. « Curvature and the c-projective mobility of Kähler metrics with hamiltonian 2-forms ». Compositio Mathematica 152, no 8 (26 avril 2016) : 1555–75. http://dx.doi.org/10.1112/s0010437x16007302.
Texte intégralHall, Stuart James, et Thomas Murphy. « Numerical Approximations to Extremal Toric Kähler Metrics with Arbitrary Kähler Class ». Proceedings of the Edinburgh Mathematical Society 60, no 4 (10 janvier 2017) : 893–910. http://dx.doi.org/10.1017/s0013091516000444.
Texte intégralFino, Anna, Gueo Grantcharov et Luigi Vezzoni. « Astheno–Kähler and Balanced Structures on Fibrations ». International Mathematics Research Notices 2019, no 22 (5 février 2017) : 7093–117. http://dx.doi.org/10.1093/imrn/rnx337.
Texte intégralDUNAJSKI, MACIEJ, et PAUL TOD. « Four–dimensional metrics conformal to Kähler ». Mathematical Proceedings of the Cambridge Philosophical Society 148, no 3 (5 janvier 2010) : 485–503. http://dx.doi.org/10.1017/s030500410999048x.
Texte intégralFujiki, Akira. « Remarks on extremal Kähler metrics on ruled manifolds ». Nagoya Mathematical Journal 126 (juin 1992) : 89–101. http://dx.doi.org/10.1017/s0027763000004001.
Texte intégralSIMANCA, 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.
Texte intégralBorówka, Aleksandra. « Quaternion-Kähler manifolds near maximal fixed point sets of $$S^1$$-symmetries ». Annali di Matematica Pura ed Applicata (1923 -) 199, no 3 (17 octobre 2019) : 1243–62. http://dx.doi.org/10.1007/s10231-019-00920-2.
Texte intégralGuenancia, Henri. « Kähler–Einstein metrics : From cones to cusps ». Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no 759 (1 février 2020) : 1–27. http://dx.doi.org/10.1515/crelle-2018-0001.
Texte intégralRUAN, WEI-DONG. « DEGENERATION OF KÄHLER–EINSTEIN MANIFOLDS I : THE NORMAL CROSSING CASE ». Communications in Contemporary Mathematics 06, no 02 (avril 2004) : 301–13. http://dx.doi.org/10.1142/s0219199704001331.
Texte intégralThèses sur le sujet "Kähler metric"
MOSSA, ROBERTO. « Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space ». Doctoral thesis, Università degli Studi di Cagliari, 2011. http://hdl.handle.net/11584/266274.
Texte intégralFrost, George. « The projective parabolic geometry of Riemannian, Kähler and quaternion-Kähler metrics ». Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.690742.
Texte intégralSALIS, FILIPPO. « The geometry of rotation invariant Kähler metrics ». Doctoral thesis, Università degli Studi di Cagliari, 2018. http://hdl.handle.net/11584/255956.
Texte intégralCANNAS, AGHEDU FRANCESCO. « Quantizations of Kähler metrics on blow-ups ». Doctoral thesis, Università degli Studi di Cagliari, 2021. http://hdl.handle.net/11584/309588.
Texte intégralIstrati, Nicolina. « Conformal structures on compact complex manifolds ». Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCC054/document.
Texte intégralIn this thesis, we are concerned with two types of non-degenerate conformal structures on a given compact complex manifold. The first structure we are interested in is a twisted holomorphic symplectic (THS) form, i.e. a holomorphic non-degenerate two-form valued in a line bundle. In the second context, we study locally conformally Kähler (LCK) metrics. In the first part, we deal with manifolds of Kähler type. THS forms generalise the well-known holomorphic symplectic forms, the existence of which is equivalent to the manifold admitting a hyperkähler structure, by a theorem of Beauville. We show a similar result in the twisted case, namely: a compact manifold of Kähler type admitting a THS structure is a finite cyclic quotient of a hyperkähler manifold. Moreover, we study under which conditions a locally hyperkähler manifold admits a THS structure. In the second part, manifolds are supposed to be of non-Kähler type. We present a few criteria for the existence or non-existence for special LCK metrics, in terms of the group of biholomorphisms of the manifold. Moreover, we investigate the analytic irreducibility issue for LCK manifolds, as well as the irreducibility of the associated Weyl connection. Thirdly, we study toric LCK manifolds, which can be defined in analogy with toric Kähler manifolds. We show that a compact toric LCK manifold always admits a toric Vaisman metric, which leads to a classification of such manifolds by the work of Lerman. In the last part, we study the cohomological properties of Oeljeklaus-Toma (OT) manifolds. Namely, we compute their de Rham and twisted cohomology. Moreover, we prove that there exists at most one de Rham class which represents the Lee form of an LCK metric on an OT manifold. Finally, we determine all the twisted cohomology classes of LCK metrics on these manifolds
Sektnan, Lars Martin. « Poincaré type Kähler metrics and stability on toric varieties ». Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/43380.
Texte intégralRubinstein, Yanir Akiva. « Geometric quantization and dynamical constructions on the space of Kähler metrics ». Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/44270.
Texte intégralIncludes bibliographical references (p. 185-200).
This Thesis is concerned with the study of the geometry and structure of the space of Kihler metrics representing a fixed cohomology class on a compact Kähler manifold. The first part of the Thesis is concerned with a problem of geometric quantization: Can the geometry of the infinite-dimensional space of Kähler metrics be approximated in terms of the geometry of the finite-dimensional spaces of FubiniStudy Bergman metrics sitting inside it? We restrict to toric varieties and prove the following result: Given a compact Riemannian manifold with boundary and a smooth map from its boundary into the space of toric Kähler metrics there exists a harmonic map from the manifold with these boundary values and, up to the first two derivatives, it is the limit of harmonic maps from the Riemannian manifold into the spaces of Bergman metrics. This generalizes previous work of Song-Zelditch on geodesics in the space of toric Kähler metrics. In the second part of the Thesis we propose the study of certain discretizations of geometric evolution equations as an approach to the study of the existence problem of some elliptic partial differential equations of a geometric nature as well as a means to obtain interesting dynamical systems on certain infinite-dimensional spaces. We illustrate the fruitfulness of this approach in the context of the Ricci flow as well as another flow on the space of Kähler metrics. We introduce and study dynamical systems related to the Ricci operator on the space of Kähler metrics that arise as discretizations of these flows. As an application, we address several questions in Kähler geometry related to canonical metrics, energy functionals, the Moser-Trudinger-Onofri inequality, Nadel-type multiplier ideal sheaves, and the structure of the space of Kähler metrics.
by Yanir Akiva Rubinstein.
Ph.D.
Wu, Damin Ph D. Massachusetts Institute of Technology. « Higher canonical asymptotics of Kähler-Einstein metrics on quasi-projective manifolds ». Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33600.
Texte intégralIncludes bibliographical references (p. 61-64).
In this thesis, we derive the asymptotic expansion of the Kiihler-Einstein metrics on certain quasi-projective varieties, which can be compactified by adding a divisor with simple normal crossings. The weighted Cheng-Yau Hilder spaces and the log-filtrations based on the bounded geometry are introduced to characterize the asymptotics. We first develop the analysis of the Monge-Ampere operators on these weighted spaces. We construct a family of linear elliptic operators which can be viewed as certain conjugacies of the specially linearized Monge-Ampbre operators. We derive a theorem of Fredholm alternative for such elliptic operators by the Schauder theory and Yau's generalized maximum principle. Together these results derive the isomorphism theorems of the Monge-Ampbre operators, which imply that the Monge-Ampere operators preserve the log-filtration of the Cheng-Yau Holder ring. Next, by choosing a canonical metric on the submanifold, we construct an initial Kidhler metric on the quasi-projective manifold such that the unique solution of the Monge-Ampere equation belongs to the weighted -1 Cheng-Yau Hölder ring. Moreover, we generalize the Fefferman's operator to act on the volume forms and obtain an iteration formula.
(cont.) Finally, with the aid of the isomorphism theorems and the iteration formula we derive the desired asymptotics from the initial metric. Furthermore, we prove that the obtained asymptotics is canonical in the sense that it is independent of the extensions of the canonical metric on the submanifold.
by Damin Wu.
Ph.D.
Ben, Ahmed Ali. « Géométrie et dynamique des structures Hermite-Lorentz ». Thesis, Lyon, École normale supérieure, 2013. http://www.theses.fr/2013ENSL0824.
Texte intégralIn the vein of Klein's Erlangen program, the research works of E. Cartan, M.Gromov and others, this work straddles between geometry and group actions. The overall theme is to understand the isometry groups of pseudo-Riemannian manifolds. Precisely, following a "vague conjecture" of Gromov, our aim is to classify Pseudo-Riemannian manifolds whose isometry group act’s not properly, i.e that it’s action does not preserve any auxiliary Riemannian metric. Several studies have been made in the case of the Lorentzian metrics (i.e of signature (- + .. +)). However, general pseudo-Riemannian case seems out of reach. The Hermite-Lorentz structures are between the Lorentzian case and the former general pseudo-Riemannian, i.e of signature (- -+ ... +). In addition, it’s defined on complex manifolds, and promises an extra-rigidity. More specifically, a Hermite-Lorentz structure on a complex manifold is a pseudo-Riemannian metric of signature (- -+ ... +), which is Hermitian in the sense that it’s invariant under the almost complex structure. By analogy with the classical Hermitian case, we naturally define a notion of Kähler-Lorentz metric. We cite as example the complex Minkowski space in where, in a sense, we have a one-dimensional complex time (the real point of view, the time is two-dimensional). We cite also the de Sitter and Anti de Sitter complex spaces. They have a constant holomorphic curvature, and generalize in this direction the projective and complex hyperbolic spaces.This thesis focuses on the Hermite-Lorentz homogeneous spaces. In addition with given examples, two other symmetric spaces can naturally play the role of complexification of the de Sitter and anti de Sitter real spaces.The main result of the thesis is a rigidity theorem of these symmetric spaces: any space Hermite-Lorentz isotropy irreducible homogeneous is one of the five previous symmetric spaces. Other results concern the case where we replace the irreducible hypothesis by the fact that the isometry group is semisimple
Delgove, François. « Sur la géométrie des solitons de Kähler-Ricci dans les variétés toriques et horosphériques ». Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS084/document.
Texte intégralThis thesis deal with Kähler-Ricci solitons which are natural generalizations of Kähler-Einstein metrics. It is divided into two parts. The first one studies the solitonic decomposition of the space of holomorphic vector spaces in the case of toric manifold. The second one studies is an analytic way the existence of horospherical Kähler-Ricci solitons on those manifolds and then computes the greatest Ricci lower bound
Livres sur le sujet "Kähler metric"
Takushiro, Ochiai, dir. Kähler metric and moduli spaces. Boston : Academic Press, 1990.
Trouver le texte intégralTian, Gang. Canonical Metrics in Kähler Geometry. Basel : Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8389-4.
Texte intégralFutaki, Akito. Kähler-Einstein Metrics and Integral Invariants. Berlin, Heidelberg : Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078084.
Texte intégralFaulk, Mitchell. Some canonical metrics on Kähler orbifolds. [New York, N.Y.?] : [publisher not identified], 2019.
Trouver le texte intégralMabuchi, Toshiki. Test Configurations, Stabilities and Canonical Kähler Metrics. Singapore : Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0500-0.
Texte intégralCheltsov, Ivan, Xiuxiong Chen, Ludmil Katzarkov et Jihun Park, dir. Birational Geometry, Kähler–Einstein Metrics and Degenerations. Cham : Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-17859-7.
Texte intégralSiu, Yum-Tong. Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics. Basel : Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-7486-1.
Texte intégralKamada, Hiroyuki. Self-dual Kähler metrics of neutral signature on complex surfaces. Sendai, Japan : Tohoku University, 2002.
Trouver le texte intégralComplex Monge-Ampère equations and geodesics in the space of Kähler metrics. Berlin : Springer Verlag, 2012.
Trouver le texte intégralGuedj, Vincent, dir. Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics. Berlin, Heidelberg : Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23669-3.
Texte intégralChapitres de livres sur le sujet "Kähler metric"
Chen, Xiuxiong, et Song Sun. « Space of Kähler Metrics (V) – Kähler Quantization ». Dans Metric and Differential Geometry, 19–41. Basel : Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0257-4_2.
Texte intégralNakajima, Hiraku. « Hyper-Kähler metric on (ℂ²)^{[𝕟]} ». Dans University Lecture Series, 29–46. Providence, Rhode Island : American Mathematical Society, 1999. http://dx.doi.org/10.1090/ulect/018/04.
Texte intégralGerchkovitz, Efrat, et Zohar Komargodski. « Sphere Partition Functions and the Kähler Metric on the Conformal Manifold ». Dans Springer Proceedings in Mathematics & ; Statistics, 101–10. Singapore : Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-2636-2_7.
Texte intégralShigekawa, Ichiro, et Setsuo Taniguchi. « A Kähler metric on a based loop group and a covariant differentiation ». Dans Itô’s Stochastic Calculus and Probability Theory, 327–46. Tokyo : Springer Japan, 1996. http://dx.doi.org/10.1007/978-4-431-68532-6_21.
Texte intégralSchumacher, Georg. « The Curvature of the Petersson-Weil Metric on the Moduli Space of Kähler-Einstein Manifolds ». Dans Complex Analysis and Geometry, 339–54. Boston, MA : Springer US, 1993. http://dx.doi.org/10.1007/978-1-4757-9771-8_14.
Texte intégralFutaki, Akito. « Kähler-Einstein metrics and extremal Kähler metrics ». Dans Lecture Notes in Mathematics, 31–45. Berlin, Heidelberg : Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078087.
Texte intégralTian, Gang. « Extremal Kähler metrics ». Dans Canonical Metrics in Kähler Geometry, 11–21. Basel : Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8389-4_2.
Texte intégralAubin, Thierry. « Einstein-Kähler Metrics ». Dans Some Nonlinear Problems in Riemannian Geometry, 251–88. Berlin, Heidelberg : Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-13006-3_7.
Texte intégralMabuchi, Toshiki. « Canonical Kähler Metrics ». Dans SpringerBriefs in Mathematics, 21–24. Singapore : Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0500-0_3.
Texte intégralCalabi, Eugenio. « Extremal Kähler Metrics II ». Dans Differential Geometry and Complex Analysis, 95–114. Berlin, Heidelberg : Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-69828-6_8.
Texte intégralActes de conférences sur le sujet "Kähler metric"
NITTA, TAKASHI, et TADASHI TANIGUCHI. « Sp(1)n-INVARIANT QUATERNIONIC KÄHLER METRIC ». Dans Proceedings of the Second Meeting. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810038_0017.
Texte intégralTEOFILOVA, M. « LIE GROUPS AS FOUR-DIMENSIONAL CONFORMAL KÄHLER MANIFOLDS WITH NORDEN METRIC ». Dans Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0034.
Texte intégralMANEV, M., K. GRIBACHEV et D. MEKEROV. « ON THREE-PARAMETRIC LIE GROUPS AS QUASI-KÄHLER MANIFOLDS WITH KILLING NORDEN METRIC ». Dans Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0022.
Texte intégralMANEV, M., et M. TEOFILOVA. « ON THE CURVATURE PROPERTIES OF REAL TIME-LIKE HYPERSURFACES OF KÄHLER MANIFOLDS WITH NORDEN METRIC ». Dans Proceedings of 9th International Workshop on Complex Structures, Integrability and Vector Fields. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814277723_0020.
Texte intégralGRAMCHEV, Todor, et Andrea LOI. « TYZ EXPANSIONS FOR SOME ROTATION INVARIANT KÄHLER METRICS ». Dans Proceedings of the 2nd International Colloquium on Differential Geometry and Its Related Fields. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814355476_0006.
Texte intégralTian, G., et S. T. Yau. « Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry ». Dans Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0028.
Texte intégralFu, Jixiang. « On non-Kähler Calabi-Yau Threefolds with Balanced Metrics ». Dans Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0070.
Texte intégralPacard, Frank. « Constant Scalar Curvature and Extremal Kähler Metrics on Blow ups ». Dans Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0078.
Texte intégralFERNÁNDEZ, M., V. MUÑOZ et J. A. SANTISTEBAN. « SYMPLECTICALLY ASPHERICAL MANIFOLDS WITH NONTRIVIAL π2 AND WITH NO KÄHLER METRICS ». Dans Proceedings of the Workshop. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812703088_0010.
Texte intégralKAMADA, HIROYUKI. « EXISTENCE OF INDEFINITE KÄHLER METRICS OF CONSTANT SCALAR CURVATURE ON COMPACT COMPLEX SURFACES ». Dans Proceedings of the 7th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701763_0011.
Texte intégralRapports d'organisations sur le sujet "Kähler metric"
Abreu, Miguel. Toric Kähler Metrics : Cohomogeneity One Examples of Constant Scalar Curvature in Action- Angle Coordinates. GIQ, 2012. http://dx.doi.org/10.7546/giq-11-2010-11-41.
Texte intégralAbreu, Miguel. Toric Kähler Metrics : Cohomogeneity One Examples of Constant Scalar Curvature in Action-Angle Coordinates. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-17-2010-1-33.
Texte intégral