Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
A filtration for isoparametric hypersurfaces in Riemannian manifolds
Jianquan GeZizhou TangWenjiao Yan
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2015 Volume 67 Issue 3 Pages 1179-1212

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Abstract

This paper introduces the notion of k-isoparametric hypersurface in an (n+1)-dimensional Riemannian manifold for k = 0,1,…,n. Many fundamental and interesting results (towards the classification of homogeneous hypersurfaces among other things) are given in complex projective spaces, complex hyperbolic spaces, and even in locally rank one symmetric spaces.

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© 2015 The Mathematical Society of Japan
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