Results 11 to 20 of about 4,225 (93)
Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of canonically polarized manifolds
Annals of Mathematics, 2015 The main result of the paper is the following. Let \(\pi: \mathcal{X}\rightarrow S\) be an effectively parametrized holomorphic family of compact canonically polarized complex manifolds over a complex manifold \(S\). Then \(S\) admits a \(C^\infty\) \(\mathrm{Aut}(\pi)\)-invariant Finsler metric whose holomorphic sectional curvature is bounded above by
To, Wing-Keung, Yeung, Sai-Kee
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Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]
J Geom Anal, 2019 In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold.
Wan X.
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A note on Lang's conjecture for quotients of bounded domains [PDF]
Épijournal de Géométrie Algébrique, 2021 It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties.
Sébastien Boucksom, Simone Diverio
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Review: Shoshichi Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings
, 1972 P. Griffiths
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ON KOBAYASHI HYPERBOLICITY OF ALMOST COMPLEX MANIFOLDS
Abstract and Applied Analysis, 2004 Duc Thai
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Kobayashi Complete Domains in Complex Manifolds [PDF]
International Journal of Mathematics, 2023 In this paper, we give sufficient conditions for Cauchy-completeness of Kobayashi hyperbolic domains in complex manifolds. The first result gives a sufficient condition for completeness for relatively compact domains in several large classes of manifolds.
Rumpa Masanta
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Hyperbolic manifolds of dimensionn with automorphism group of dimensionn 2 − 1
Journal of Geometric Analysis, 2005 A V Isaev
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On complex automorphisms and holomorphic equivalence of domains [PDF]
, 2008 We give in the two first chapters some fundamental properties of the automorphism group of bounded domains and Kobayashi hyperbolic complex manifolds. We emphasize the role of the Poincaré, Carathéodory and Kobayashi metrics.
J.J. Loeb
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Semi-contractions des espaces localement compacts et cas des variétés complexes [PDF]
, 2013 Inspired by papers of Beardon, we give results for fixed points and orbits of contractions and semi-contractions of locally compact connected spaces.
J.J. Loeb
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Algebraically hyperbolic manifolds have finite automorphism groups [PDF]
Communications in Contemporary Mathematics, 2017 A projective manifold [Formula: see text] is algebraically hyperbolic if there exists a positive constant [Formula: see text] such that the degree of any curve of genus [Formula: see text] on [Formula: see text] is bounded from above by [Formula: see ...
F. Bogomolov +2 more
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