Geometric properties of Lie hypersurfaces in a complex hyperbolic space.
| Autor: | Kim, Young Ho |
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| Další autoři: | |
| Jazyk: | angličtina |
| Předmět: |
matematika
mathematics články journal articles complex hyperbolic space homogeneous real hypersurface Lie hypersurface homogeneous ruled real hypersurface equidistant hypersurface horosphere sectional curvature shape operator integral curve of the characteristic vector field holomorphic distributions homogeneous curve |
| Druh dokumentu: | Non-fiction |
| ISSN: | 0011-4642 |
| Abstrakt: | Abstract: We study homogeneous real hypersurfaces having no focal submanifolds in a complex hyperbolic space. They are called Lie hypersurfaces in this space. We clarify the geometry of Lie hypersurfaces in terms of their sectional curvatures, the behavior of the characteristic vector field and their holomorphic distributions. |
| Databáze: | Katalog Knihovny AV ČR |
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