In this article, we establish a weak maximum principle for complete hypersurfaces with constant scalar curvature into Riemannian space forms, and give some applications to estimate the norm of the traceless part of its second fundamental form.

A maximum principle for hypersurfaces with constant scalar curvature and applications / L.J. Alías, S.C. García-Martínez, M. Rigoli. - In: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. - ISSN 0232-704X. - 41:3(2012 Mar), pp. 307-320.

A maximum principle for hypersurfaces with constant scalar curvature and applications

M. Rigoli
Ultimo
2012

Abstract

In this article, we establish a weak maximum principle for complete hypersurfaces with constant scalar curvature into Riemannian space forms, and give some applications to estimate the norm of the traceless part of its second fundamental form.
Scalar curvature; First Newton tensor; Maximum principle
Settore MAT/03 - Geometria
mar-2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/297821
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