Finiteness theorems for equifocal hypersurfaces

Mathematics – Differential Geometry

Scientific paper

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15 pages

Scientific paper

In this paper, we give a finiteness result on the diffeomorphism types of
curvature-adapted equifocal hypersurfaces in a simply connected compact
symmetric space. Furthermore, the condition curvature-adapted can be dropped if
the symmetric space is of rank one.

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