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The horospherical Gauss-Bonnet type theorem in hyperbolic space
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- Izumiya Shyuichi
- Department of Mathematics, Hokkaido University
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- Romero Fuster María del Carmen
- Departament de Geometría i Topología, Universitat de València
Bibliographic Information
- Other Title
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- horospherical Gauss Bonnet type theorem in hyperbolic space
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Description
We introduce the notion horospherical curvatures of hypersurfaces in hyperbolic space and show that totally umbilic hypersurfaces with vanishing curvatures are only horospheres. We also show that the Gauss-Bonnet type theorem holds for the horospherical Gauss-Kronecker curvature of a closed orientable even dimensional hypersurface in hyperbolic space.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 58 (4), 965-984, 2006
The Mathematical Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390001205116597888
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- NII Article ID
- 10018380723
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2276176
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- NDL BIB ID
- 8512813
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed
