| De Sitter空间S_1~(n+1)(1)的半平行及其高阶平行类空超曲面 |
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| 摘 要： | 本文给出了DeSitter空间Sn + 11(1) (n >2 )的半平行超曲面的分类 ,并利用此分类定理证明了Sn + 1(1)的高阶平行超曲面与平行超曲面的等价性 .
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| 关 键 词： | DeSitter空间 半平行超曲面 平行超曲面 高阶平行超曲面 |
The Semi-Parallel Spacelike Hypersurfaces and the Higher Order Parallel spacelike Hypersarfaces in S_1~(n+1)(1) |
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| Abstract: | In this paper,we get the classification of the semi-parallel hypersurfaces in a De Sitter space S n+1 1(1),(n>2),Using the classification,we obtain the equivalence between the hypersurfaces with parallel higher order fundamental form and the hypersurfces with parallel second fundamental form in S n+1 1(1). |
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| Keywords: | De Sitter space semi-parallel parallel second fundamental form parallel higher order second fundamental form |
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