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- W2034343531 abstract "In this paper, we obtain a Cartan type identity for curvature-adapted isoparametric hypersurfaces in symmetric spaces of compact type or non-compact type. This identity is a generalization of Cartan-D'Atri's identity for curvature-adapted(=amenable) isoparametric hypersurfaces in rank one symmetric spaces. Furthermore, by using the Cartan type identity, we show that certain kind of curvature-adapted isoparametric hypersurfaces in a symmetric space of non-compact type are principal orbits of Hermann actions." @default.
- W2034343531 created "2016-06-24" @default.
- W2034343531 creator A5013889324 @default.
- W2034343531 date "2010-10-08" @default.
- W2034343531 modified "2023-09-24" @default.
- W2034343531 title "A Cartan type identity for isoparametric hypersurfaces in symmetric spaces" @default.
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- W2034343531 doi "https://doi.org/10.48550/arxiv.1010.1652" @default.
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