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| Rotational Hypersurfaces with Constant Gauss-Kronecker Curvature |
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Citation： |
Yuhang LIU,Yunchu DAI.Rotational Hypersurfaces with Constant Gauss-Kronecker Curvature[J].Chinese Annals of Mathematics B,2022,43(3):343~358 |
| Page view： 632
Net amount： 704 |
Authors： |
Yuhang LIU; Yunchu DAI |
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| Abstract： |
The authors study rotational hypersurfaces with constant Gauss-Kronecker curvature in Rn. They solve the ODE associated with the generating curve of such hypersurface using integral expressions and obtain several geometric properties of such hypersurfaces. In particular, they discover a class of non-compact rotational hypersurfaces with constant and negative Gauss-Kronecker curvature and finite volume, which can be seen as the higher-dimensional generalization of the pseudo-sphere. |
Keywords： |
Differential geometry, Gauss-Kronecker curvature, Ordinary differential equation |
Classification： |
53A07 |
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