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Extrinsic radius pinching for hypersurfaces of space forms

Authors
  • Roth, Julien
Type
Preprint
Publication Date
Mar 21, 2006
Submission Date
Mar 21, 2006
Identifiers
arXiv ID: math/0603494
Source
arXiv
License
Unknown
External links

Abstract

We prove some pinching results for the extrinsic radius of compact hypersurfaces in space forms. We show that if the pinching condion is strong enough with a dependance on the norm of the second foundamental form, then the hypersurface is diffeomorphic and almost isometric to a geodesic hypersphere.

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