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arXiv · 1209.1933

The classifications of certain kind of isoparametric submanifolds in non-compact symmetric spaces

Naoyuki Koike
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Abstract

In this paper, we prove that full irreducible curvature-adapted isoparametric submanifolds of codimension greater than one in a symmetric space of non-compact type are principal orbits of Hermann actions on the symmetric spaces under certain conditions.

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Naoyuki Koike. 2012-09-10. The classifications of certain kind of isoparametric submanifolds in non-compact symmetric spaces. https://arxiv.org/abs/1209.1933

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