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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)openaire
Lagrangian submanifolds of the complex hyperbolic space
Lagrangian submanifolds of the complex hyperbolic spaceopenaire
Contact hypersurfaces of a complex hyperbolic space
Contact hypersurfaces of a complex hyperbolic spaceopenaire
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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.
Jiang, Yueping +2 more
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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 (
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Cotranchal Bisectors in Complex Hyperbolic Space
Geometriae Dedicata, 2003Two 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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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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Isotropic Lagrangian Submanifolds in Complex Euclidean Space and Complex Hyperbolic Space
Results in Mathematics, 2009The 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 \({\mathbb{CH}}^n\).
Haizhong Li, Xianfeng Wang
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The moduli space of hyperbolic compact complex spaces
Mathematische Zeitschrift, 2006The author constructs the moduli space of reduced hyperbolic compact complex spaces. He uses a general criterion to represent analytic functors by coarse moduli spaces. This criterion has already been used to construct the moduli space of polarized Kähler manifolds.
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Some Physics Questions in Hyperbolic Complex Space
Advances in Applied Clifford Algebras, 2006In hyperbolic complex space, the Clifford algebra is isomorphic to that of a corresponding Minkowski geometry. We define the hyperbolic imaginary unit j (j2 = 1, j ≠ ± 1, j* = − j) to generate a class of Clifford algebras. We can introduce a class of non-Euclidean spaces and discuss the general form of 4-dimensional Lorentz transformation, and ...
Zhu Wei, Yu Xuegang
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