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A NEW RESULT ABOUT ALMOST UMBILICAL HYPERSURFACES OF REAL SPACE FORMS
Published online by Cambridge University Press: 14 October 2014
Abstract
In this short note, we prove that an almost umbilical compact 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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 91 , Issue 1 , February 2015 , pp. 145 - 154
- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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