Results 271 to 280 of about 634,077 (306)
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Jørgensen's Inequality for Complex Hyperbolic Space
Geometriae Dedicata, 2003The authors give analogues of Jørgensen's inequality for non-elementary groups of isometries of complex hyperbolic 2-space generated by two elements, one of which is either loxodromic or boundary elliptic. Specifically, they give a set of four conditions under which such a group is either elementary or not discrete.
Yue-Ping Jiang, S. Kamiya, J. Parker
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SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE
International Journal of Mathematics, 1992Shimizu’s lemma gives a necessary condition for a discrete group of isometries of the hyperbolic plane containing a parabolic map to be discrete. Viewing the hyperbolic plane as complex hyperbolic 1-space we generalise Shimizu’s lemma to higher dimensional complex hyperbolic space In particular we give a version of Shimizu’s lemma for subgroups of PU (
John R. Parker
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The Moduli Space of Complex Geodesics in the Complex Hyperbolic Plane
Journal of Geometric Analysis, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolay Gusevskii
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On some real hypersurfaces of a complex hyperbolic space
Geometriae Dedicata, 1986Sebastian Montiel, Alfonso Romero
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The homogeneous ruled real hypersurface in a complex hyperbolic space
Journal of Geometry, 2018Makoto Kimura +2 more
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Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space
Geometriae Dedicata, 2023We study notions of asymptotic regularity for a class of minimal submanifolds of complex hyperbolic space that includes minimal Lagrangian submanifolds.
Jacob Bernstein, Arunima Bhattacharya
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Local rigidity of discrete groups acting on complex hyperbolic space
Inventiones Mathematicae, 1987W. Goldman, J. Millson
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On effective existence of symmetric differentials of complex hyperbolic space forms
, 2018For a noncompact complex hyperbolic space form of finite volume $$X=\mathbb {B}^n/\varGamma $$X=Bn/Γ, we consider the problem of producing symmetric differentials vanishing at infinity on the Mumford compactification $$\overline{X}$$X¯ of X similar to ...
Kwok-Kin Wong
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The homogeneous holonomies of complex hyperbolic space
Annals of Global Analysis and Geometry, 2022The complex hyperbolic space \(\mathbb {CH}(n)=\mathrm{SU}(n,1)/\mathrm{S}(\mathrm{U}(n)\mathrm{U}(1))\), \(n\in \mathbb N\), is a very important homogeneous manifold as a model for geometric classifications. The main result of this paper is the characterization of the holonomy algebras of all canonical connections of \(\mathbb {CH}(n)\), also their ...
Carmona Jiménez, J. L. +1 more
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