Horospheres and hyperbolicity of Hadamard manifolds
| Autor: | Mitsuhiro Itoh, Young Jin Suh, Hiroyasu Satoh |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Mathematics::Dynamical Systems
Hadamard three-circle theorem Hadamard three-lines theorem Hyperbolic space Mathematical analysis Holomorphic function Hadamard manifold Mathematics::Geometric Topology Volume entropy Computational Theory and Mathematics Horosphere Hadamard transform Mathematics::Differential Geometry Geometry and Topology Analysis Mathematics |
| Zdroj: | Differential Geometry and its Applications. 35:50-68 |
| ISSN: | 0926-2245 |
| Popis: | From geometrical study of horospheres we obtain, among asymptotically harmonic Hadamard manifolds, a rigidity theorem of the complex hyperbolic space C H m with respect to volume entropy. We also characterize C H m horospherically in terms of holomorphic curvature boundedness. Corresponding quaternionic analogues are obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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