| THE GAUSS MAP OF SUBMANIFOLDSIN SPACES OF CONSTANT CURVATURE |
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| 引用本文： | Zhou Jianwei. THE GAUSS MAP OF SUBMANIFOLDSIN SPACES OF CONSTANT CURVATURE[J]. 数学年刊B辑(英文版), 1995, 16(2): 171-176 |
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| 作者姓名： | Zhou Jianwei |
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| 摘 要： | ＴＨＥＧＡＵＳＳＭＡＰＯＦＳＵＢＭＡＮＩＦＯＬＤＳＩＮＳＰＡＣＥＳＯＦＣＯＮＳＴＡＮＴＣＵＲＶＡＴＵＲＥ￥ＺＨＯＵＪＩＡＮＷＥＩＡｂｓｔｒａｃｔ：ＴｈｉｓｐａｐｅｒｓｔｕｄｉｅｓｔｈｅＧａｕｓｓｍａｐｏｆｓｕｂｍａｎｉｆｏｌｄｓｉｎｓｐａｃｅｆｏｒｍ...
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| 关 键 词： | 高斯映射 空间排列 平行置换 莫尔斯函数 闭沉浸 双曲线空间 |
| 收稿时间： | 1993-05-13 |
THE GAUSS MAP OF SUBMANIFOLDS IN SPACES OF CONSTANT CURVATURE |
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| Zhou Jianwei. THE GAUSS MAP OF SUBMANIFOLDS IN SPACES OF CONSTANT CURVATURE[J]. Chinese Annals of Mathematics,Series B, 1995, 16(2): 171-176 |
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| Authors: | Zhou Jianwei |
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| Affiliation: | ZHOU JIANWEI |
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| Abstract: | This paper studies the Gauss map of submanifolds in space forms defined by Willmore andSaleemi. By using Morse functions,it is proved that the degree of Gauss map is the Eulernumber of the submanifold.The tight immersions are also studied. |
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| Keywords: | Space form Parallel displacement Gauss map Morse function Tight immersion. |
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