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

Published 10 Sep 2012 in math.DG | (1209.1933v2)

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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