Hypersurfaces with nonzero constant Gauss – Kronecker curvature in $M^{n+1}(±1)$
We study hypersurfaces in a unit sphere and in a hyperbolic space with nonzero constant Gauss – Kronecker curvature and two distinct principal curvatures one of which is simple. Denoting by $K$ the nonzero constant Gauss – Kronecker curvature of hypersurfaces, we obtain some characterizations of the...
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| Date: | 2016 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1940 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |