A Generalization of Cartan’s Identities for Isoparametric Hypersurfaces and Its Applications

被引：0
|
作者：
Naoto Abe
Kazuyuki Hasegawa
机构：
[1] Tokyo University of Science,Department of Mathematics
来源：
Results in Mathematics | 2008年 / 52卷
关键词：
Primary 53C15; Secondary 53C42, 53A15, 58A30; Cartan’s identity; isoparametric hypersurface; resolvent operator; Codazzi tensor;
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学科分类号：
摘要：
We generalize Cartan’s identities for hypersurfaces with constant principal curvatures to those for endomorphisms on a subbundle of a tangent bundle with constant characteristic polynomial. As applications, we obtain Cartan’s identities for pseudo-Riemannian or equiaffine isoparametric hypersurfaces.
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页码：197 / 210
页数：13
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