Equifocal families in symmetric spaces of compact type

Details Equifocal families in symmetric spaces of compact type Equifocal families in symmetric spaces of compact type

1998-05-14

arxiv.org/abs/math/9805069v1

Mathematics

Differential Geometry

23 pages

Scientific paper

An equifocal submanifold M of a symmetric space N of compact type induces a foliation with singular leaves on N. In this paper we will show how to reconstruct the equifocal foliation starting from one of the singular leaves, the so-called focal manifolds. To be more concrete: The equifocal submanifold is equal to a partial tube B around the focal manifold and we will show how to construct B in this paper. Moreover, we will find a geometrical characterization of focal manifolds.

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