The Fundamental Theorems for Affine Immersionsinto Hyperquadrics and its Applications

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作者
Kazuyuki Hasegawa
机构
[1] Science University of Tokyo,
[2] Japan,undefined
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1991 Mathematics Subject Classifications: 53A15; Key words: Affine immersions; hyperquadrics; fundamental theorems;
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摘要
 We prove the fundamental theorems for affine immersions into hyperquadrics (including affine spaces) with arbitrary codimension, which are generalizations of those for isometric immersions into space forms. As applications, the fundamental theorems for equiaffine immersions into hyperquadrics with arbitrary codimension are obtained.
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页码:37 / 48
页数:11
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