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Some Problems in Value Distribution and Hyperbolic Manifolds : Dedicated to Professor S. Kobayashi(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday)openaire
From Subvarieties Of Abelian Varieties To Kobayashi Hyperbolic Manifolds : After P. Vojta and G. Faltings(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday)openaire
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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
2007A. Isaev
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Hyperbolic manifolds with high-dimensional automorphism group
Proceedings of the Steklov Institute of Mathematics, 2006A V Isaev
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Journal of Geometric Analysis, 2018
We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $$n\ge 4$$ n ≥ 4 whose group of holomorphic automorphisms has dimension either $$n^2-4$$ n 2 - 4 , or $$n^2-5$$ n 2 - 5 , or $$n^2-6$$ n 2 - 6 .
A. Isaev
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We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $$n\ge 4$$ n ≥ 4 whose group of holomorphic automorphisms has dimension either $$n^2-4$$ n 2 - 4 , or $$n^2-5$$ n 2 - 5 , or $$n^2-6$$ n 2 - 6 .
A. Isaev
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Visibility domains relative to the Kobayashi distance in complex manifolds
Transactions of the American Mathematical SocietyIn this paper, we extend the notion of visibility relative to the Kobayashi distance to domains in arbitrary complex manifolds. Visibility here refers to a property resembling visibility in the sense of Eberlein–O’Neill for Riemannian manifolds. Since it
Rumpa Masanta
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On the Kobayashi Pseudometric, Complex Automorphisms and Hyperkähler Manifolds
, 2016We define the Kobayashi quotient of a complex variety by identifying points with vanishing Kobayashi pseudodistance between them and show that if a complex projective manifold has an automorphism whose order is infinite, then the fibers of this quotient ...
F. Bogomolov +3 more
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Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds
, 2011We characterize infinitesimal generators on complete hyperbolic complex manifolds without any regularity assumption on the Kobayashi distance. This allows to prove a general Loewner type equation with regularity of any order $${d \in [1, +\infty ...
Leandro Arosio, Filippo Bracci
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