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arxiv: 1201.2051 · v1 · pith:UZS2KYXHnew · submitted 2012-01-10 · 🧮 math.DG

Finiteness theorems for equifocal hypersurfaces

classification 🧮 math.DG
keywords curvature-adaptedequifocalfinitenesshypersurfacesspacesymmetriccompactcondition
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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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