Title of article
On the scalar curvature of constant mean curvature hypersurfaces in space forms
Author/Authors
Alيas، نويسنده , , Luis J. and Garcيa-Martيnez، نويسنده , , S. Carolina، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
9
From page
579
To page
587
Abstract
In this paper we study the behavior of the scalar curvature S of a complete hypersurface immersed with constant mean curvature into a Riemannian space form of constant curvature, deriving a sharp estimate for the infimum of S. Our results will be an application of a weak Omori–Yau maximum principle due to Pigola, Rigoli, Setti (2005) [17].
Keywords
scalar curvature , Parabolicity , Maximum principle , Stochastic completeness , Constant mean curvature , Ricci curvature
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560756
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