Homogeneity of proper complex equifocal submanifolds

Details Homogeneity of proper complex equifocal submanifolds Homogeneity of proper complex equifocal submanifolds

2008-07-10

arxiv.org/abs/0807.1606v3

Mathematics

Differential Geometry

35pages

Scientific paper

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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