Relevant bibliographies by topics / Bergman metrics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Bergman metrics'

Author: Grafiati
Published: 6 September 2023
Last updated: 7 September 2023

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Journal articles on the topic "Bergman metrics"

1

Herbort, Gregor. "The growth of the bergman kernel on pseudoconvex domains of homogeneous finite diagonal type." Nagoya Mathematical Journal 126 (June 1992): 1–24. http://dx.doi.org/10.1017/s0027763000003986.

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In this article we continue the investigations on invariant metrics on a certain class of weakly pseudoconvex domains which we began in [H 1]. While in that paper the differential metrics of Caratheodory and Kobayashi were estimated precisely, the present paper contains a sharp estimate of the singularity of the Bergman kernel and metric on domains belonging to that class.
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Potash, Eric. "Euclidean Embeddings and Riemannian Bergman Metrics." Journal of Geometric Analysis 26, no. 1 (2015): 499–528. http://dx.doi.org/10.1007/s12220-015-9560-3.

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Feng, Renjie. "Bergman metrics and geodesics in the space of Kähler metrics on principally polarized abelian varieties." Journal of the Institute of Mathematics of Jussieu 11, no. 1 (2011): 1–25. http://dx.doi.org/10.1017/s1474748011000119.

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AbstractIt is well known in Kähler geometry that the infinite-dimensional symmetric space $\mathcal{H}$ of smooth Kähler metrics in a fixed Kähler class on a polarized Kähler manifold is well approximated by finite-dimensional submanifolds $\mathcal{B}_k\subset\mathcal{H}$ of Bergman metrics of height k. Then it is natural to ask whether geodesics in $\mathcal{H}$ can be approximated by Bergman geodesics in $\mathcal{B}_k$. For any polarized Kähler manifold, the approximation is in the C0 topology. For some special varieties, one expects better convergence: Song and Zelditch proved the C2 conv
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LOI, ANDREA. "BERGMAN AND BALANCED METRICS ON COMPLEX MANIFOLDS." International Journal of Geometric Methods in Modern Physics 02, no. 04 (2005): 553–61. http://dx.doi.org/10.1142/s0219887805000685.

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Ferrari, Frank, Semyon Klevtsov, and Steve Zelditch. "Simple matrix models for random Bergman metrics." Journal of Statistical Mechanics: Theory and Experiment 2012, no. 04 (2012): P04012. http://dx.doi.org/10.1088/1742-5468/2012/04/p04012.

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Maitani, Fumio, and Hiroshi Yamaguchi. "Variation of Bergman metrics on Riemann surfaces." Mathematische Annalen 330, no. 3 (2004): 477–89. http://dx.doi.org/10.1007/s00208-004-0556-8.

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BERMAN, ROBERT J. "BERGMAN KERNELS AND EQUILIBRIUM MEASURES FOR POLARIZED PSEUDO-CONCAVE DOMAINS." International Journal of Mathematics 21, no. 01 (2010): 77–115. http://dx.doi.org/10.1142/s0129167x10005933.

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Let X be a domain in a closed polarized complex manifold (Y,L), where L is a (semi-) positive line bundle over Y. Any given Hermitian metric on L induces by restriction to X a Hilbert space structure on the space of global holomorphic sections on Y with values in the k-th tensor power of L (also using a volume form ωn on X. In this paper the leading large k asymptotics for the corresponding Bergman kernels and metrics are obtained in the case when X is a pseudo-concave domain with smooth boundary (under a certain compatibility assumption). The asymptotics are expressed in terms of the curvatur
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Feng, Zhiming. "The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains." International Journal of Mathematics 29, no. 06 (2018): 1850043. http://dx.doi.org/10.1142/s0129167x1850043x.

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Let [Formula: see text] be a globally defined real Kähler potential on a domain [Formula: see text], and [Formula: see text] be a Kähler metric on the Hartogs domain [Formula: see text] associated with the Kähler potential [Formula: see text]. First, we obtain explicit formulas of the coefficients [Formula: see text] of the Bergman function expansion for the Hartogs domain [Formula: see text] in a momentum profile [Formula: see text]. Second, using explicit expressions of [Formula: see text], we obtain necessary and sufficient conditions for the coefficients [Formula: see text] to be constants
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Lazaroiu, Calin Iuliu, Daniel McNamee, and Christian Sämann. "Generalized Berezin quantization, Bergman metrics and fuzzy laplacians." Journal of High Energy Physics 2008, no. 09 (2008): 059. http://dx.doi.org/10.1088/1126-6708/2008/09/059.

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Loi, Andrea, and Fabio Zuddas. "Partially regular and cscK metrics." International Journal of Mathematics 31, no. 10 (2020): 2050079. http://dx.doi.org/10.1142/s0129167x20500792.

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A Kähler metric [Formula: see text] with integral Kähler form is said to be partially regular if the partial Bergman kernel associated to [Formula: see text] is a positive constant for all integer [Formula: see text] sufficiently large. The aim of this paper is to prove that for all [Formula: see text] there exists an [Formula: see text]-dimensional complex manifold equipped with strictly partially regular and cscK metric [Formula: see text]. Further, for [Formula: see text], the (constant) scalar curvature of [Formula: see text] can be chosen to be zero, positive or negative.
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Dissertations / Theses on the topic "Bergman metrics"

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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.

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This thesis deals with two different subjects: balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we prove that for every point p of an Hermitian symmetric space of noncompact type there exists a globally defined diastatic exponential centered in p which is a d
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Lazzari, Dalila. "Nuclei Riproducenti." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2020.

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La tesi si articola in quattro capitoli. Nel primo capitolo vengono esposti i concetti di base su cui è basata la teoria principale. Inizieremo ricordando le definizioni e i teoremi più rilevanti sugli spazi di Hilbert, sui sistemi ortonormali e sulle funzioni olomorfe per poi arrivare al prodotto Wedge, agli operatori bilineari e al prodotto tensoriale. Il secondo capitolo è destinato ai nuclei riproducenti. Vedremo dapprima la definizione e il Teorema di Aronszajn-Bergman che determina una condizione necessaria e sufficiente sugli spazi affinchè abbiano nucleo riproducente. Studieremo po
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Klevtsov, Semyon. "Bergman kernel, balanced metrics and black holes." 2009. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051849.

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Ghara, Soumitra. "Decomposition of the tensor product of Hilbert modules via the jet construction and weakly homogeneous operators." Thesis, 2018. https://etd.iisc.ac.in/handle/2005/4909.

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Let ­½ Cm be a bounded domain and K :­£­!C be a sesqui-analytic function. We show that if ®,¯ È 0 be such that the functions K® and K¯, defined on ­£­, are non-negative definite kernels, then theMm(C) valued function K(®,¯)(z,w) :Æ K®Å¯(z,w) ³ ¡ @i¯@ j logK ¢ (z,w) ´m i , jÆ1 , z,w 2­, is also a non-negative definite kernel on ­£­. Then a realization of the Hilbert space (H,K(®,¯)) determined by the kernel K(®,¯) in terms of the tensor product (H,K®)­(H,K¯) is obtained. For two reproducing kernel Hilbert modules (H,K1) and (H,K2), let An, n ¸ 0, be the submodule of the Hilbert mo
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Trybuła, Maria. "The Bergman kernel function and related topics." Praca doktorska, 2015. https://ruj.uj.edu.pl/xmlui/handle/item/278051.

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Dinew, Żywomir. "Współrzędne reprezentatywne i geometria metryki Bergmana." Praca doktorska, 2010. http://ruj.uj.edu.pl/xmlui/handle/item/38334.

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Blumberg, Sven [Verfasser]. "Das Randverhalten des Bergman-Kerns und der Bergman-Metrik auf lineal konvexen Gebieten endlichen Typs / vorgelegt von Sven Blumberg." 2005. http://d-nb.info/977931056/34.

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Books on the topic "Bergman metrics"

1

Krantz, Steven G. Geometric Analysis of the Bergman Kernel and Metric. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7924-6.

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Geometric Analysis of the Bergman Kernel and Metric. Springer, 2013.

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Krantz, Steven G. Geometric Analysis of the Bergman Kernel and Metric. Springer London, Limited, 2013.

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Krantz, Steven G. Geometric Analysis of the Bergman Kernel and Metric. Springer New York, 2016.

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Book chapters on the topic "Bergman metrics"

1

Berman, Robert, and Julien Keller. "Bergman Geodesics." In Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23669-3_8.

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Maurin, Krzysztof. "Kähler Spaces. Bergman Metrics. Harish-Chandra-Cartan Theorem. Siegel Space (once again!)." In The Riemann Legacy. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8939-0_6.

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Christ, Michael. "Upper Bounds for Bergman Kernels Associated to Positive Line Bundles with Smooth Hermitian Metrics." In Algebraic and Analytic Microlocal Analysis. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01588-6_8.

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Korányi, Adam. "Bergman Kernel and Bergman Metric." In Analysis and Geometry on Complex Homogeneous Domains. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1366-6_13.

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Krantz, Steven G. "The Bergman Metric." In Graduate Texts in Mathematics. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7924-6_2.

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Krantz, Steven G. "The Bergman Metric." In Springer Monographs in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63231-5_7.

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Greene, Robert E., Kang-Tae Kim, and Steven G. Krantz. "The Bergman Kernel and Metric." In The Geometry of Complex Domains. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-4622-6_3.

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Krantz, Steven G. "Curvature of the Bergman Metric." In Graduate Texts in Mathematics. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7924-6_7.

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Herbort, Gregor. "On the Bergman metric near a plurisubharmonic barrier point." In Complex Analysis and Geometry. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8436-5_7.

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Ohsawa, Takeo. "An Essay on the Bergman Metric and Balanced Domains." In Reproducing Kernels and their Applications. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4757-2987-0_13.

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