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Spinal hypersurfaces in complex hyperbolic space(Complex Analysis on Hyperbolic 3-Manifolds)

Spinal hypersurfaces in complex hyperbolic space(Complex Analysis on Hyperbolic 3-Manifolds)
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Lagrangian submanifolds of the complex hyperbolic space

Lagrangian submanifolds of the complex hyperbolic space
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Contact hypersurfaces of a complex hyperbolic space

Contact hypersurfaces of a complex hyperbolic space
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The Moduli Space of Points in the Boundary of Complex Hyperbolic Space

Journal of Geometric Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolay Gusevskii
exaly   +3 more sources

The Moduli Space of Complex Geodesics in the Complex Hyperbolic Plane

Journal of Geometric Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolay Gusevskii
exaly   +3 more sources

Isotropic Lagrangian Submanifolds in Complex Euclidean Space and Complex Hyperbolic Space

Results in Mathematics, 2009
The notion of isotropic submanifolds of an arbitrary Riemannian manifold was first introduced by B. O’Neill in [12]. In our paper, we give a complete classification of isotropic Lagrangian submanifolds in complex Euclidean space \({\mathbb{C}}^n\) and complex hyperbolic space \({\mathbb{CH}}^n\).
Xianfeng Wang, Wang Xianfeng, Li Haizhong   +2 more
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Jørgensen's Inequality for Complex Hyperbolic Space

Geometriae Dedicata, 2003
The 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.
Jiang, Yueping, Kamiya, Shigeyasu, Parker, John R.   +2 more
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The homogeneous holonomies of complex hyperbolic space

Annals of Global Analysis and Geometry, 2022
The 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., Castrillón López, M.   +1 more
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SHIMIZU’S LEMMA FOR COMPLEX HYPERBOLIC SPACE

International Journal of Mathematics, 1992
Shimizu’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 (
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Cotranchal Bisectors in Complex Hyperbolic Space

Geometriae Dedicata, 2003
Two bisectors in complex hyperbolic space \(\mathbb{C} H^n\) are called cotranchal if they possess a common slice. In the paper a natural thing, called the prespinal angle between two such bisectors, is defined and used to study the intersection of two such bisectors.
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