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| THE GAUSS MAP OF SUBMANIFOLDS IN SPACES OF CONSTANT CURVATURE |
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Citation： |
Zhou Jianwei.THE GAUSS MAP OF SUBMANIFOLDS IN SPACES OF CONSTANT CURVATURE[J].Chinese Annals of Mathematics B,1995,16(2):171~176 |
| Page view： 1054
Net amount： 754 |
Authors： |
Zhou Jianwei; |
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| Abstract： |
This paper studies the Gauss map of submanifolds in space forms defined by
Willmore and Saleemi. By using Morse functions, it is proved that the degree
of Gauss map is the Euler number of the submanifold. The tight immersions are
also studied. |
Keywords： |
Space form, Parallel displacement, Gauss map, Morse function,Tight immersion. |
Classification： |
53A35, 53C42 |
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