A new result about almost umbilical hypersurfaces of real space forms

Authors

  • J. Roth LAMA, Université Paris-Est Marne-la-Vallée

Keywords:

Almost-umbilical hypersurfaces, space forms, constant scalar curvature

Abstract

In this short note, we prove that an almost umbilical hypersurface of a real space form with almost Codazzi umbilicity tensor is embedded, diffeomorphic and quasi-isometric to a round sphere. Then, we derive a new characterisation of geodesic spheres in space forms. DOI: 10.1017/S0004972714000732

Published

2014-11-13

Issue

Vol. 91 No. 1 (2015)

Section

Articles
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