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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CONNECTIONS ON ALMOST COMPLEX FINSLER MANIFOLDS AND KOBAYASHI HYPERBOLICITY [PDF]
Journal of the Korean Mathematical Society, 2007 In this paper, we establish a necessary condition in terms of curvature for the Kobayashi hyperbolicity of a class of almost complex Finsler manifolds. For an almost complex Finsler manifold with the condition (R), so-called Rizza manifold, we show that there exists a unique connection compatible with the metric and the almost complex structure which ...
Dae-Yeon Won, Nany Lee
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Properties and examples of Kobayashi hyperbolic Riemannian manifolds
Complex Analysis and its SynergiesWe prove an analogue of the Brody lemma in the framework of Riemannian manifolds. We also present new examples of Riemannian manifolds that are hyperbolic in the sense of Kobayashi.
Gaussier, Hervé, Sukhov, Alexandre
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On a Kobayashi hyperbolic manifold N modulo a closed subset ΔN and its applications
Kodai Mathematical Journal, 2007 We show that the degeneration locus of the Kobayashi pseudodistance on a complex manifold is always a pseudoconcave set of order 1. We give some results cocerning the degeneration locus of the Kobayashi pseudodistance. Next we prove a generalization of the little Picard theorem relevantly. Finally, we consider the case N = ΔN.
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The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy--Wolff Theorem
added a proposition that gives a sufficient condition in terms of the geometry of horoballs for the Denjoy--Wolff property in convex domains.
Chandel, Vikramjeet Singh +1 more
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Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 Arosio L, Dall'Ara GM, Fiacchi M.
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From linear to metric functional analysis. [PDF]
Proc Natl Acad Sci U S A, 2021 Karlsson A.
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The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. [PDF]
Entropy (Basel), 2020 Nielsen F.
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Hyperbolic Manifolds and Holomorphic Mappings, by S. Kobayashi. ix+148 pages. Marcel Dekker, N.Y., 1970. U.S. $11.75. [PDF]
Canadian Mathematical Bulletin, 1972 openaire +1 more source
Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]
J Geom Anal, 2019 Wan X.
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