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arXiv:0807.1606 [math.DG]AbstractReferencesReviewsResources

Homogeneity of proper complex equifocal submanifolds

Naoyuki Koike

Published 2008-07-10, updated 2017-07-24Version 4

In this paper, we show that an irreducible proper complex equifocal submanifold of codimension greater than one in a symmetric space of non-compact type. The proof is performed by showing the homogeneity of the lift of the complexification of the original submanifold to some infinite dimensional anti-Kahelerian space.

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