Extrinsic radius pinching for hypersurfaces of space forms
Differential Geometry
2017-02-22 v1
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.
Keywords
Cite
@article{arxiv.math/0603494,
title = {Extrinsic radius pinching for hypersurfaces of space forms},
author = {Julien Roth},
journal= {arXiv preprint arXiv:math/0603494},
year = {2017}
}
Comments
20 pages, 1 figure