Equifocal families in symmetric spaces of compact type

Martina Brueck

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arXiv · math/9805069

Equifocal families in symmetric spaces of compact type

Martina Brueck

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Abstract

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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BibTeX RIS

Martina Brueck. 1998-05-14. Equifocal families in symmetric spaces of compact type. https://arxiv.org/abs/math/9805069

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