## On the scalar curvature of constant mean curvature hypersurfaces in space forms

##### Authors
Alias, Luis J.
Garcia-Martinez, S. Carolina
##### Description
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 and Setti \cite{PRS}.
Comment: Final version (August 2009). To appear in Journal of Mathematical Analysis and Applications. Dedicated to Professor Marcos Dajczer on the occasion of his 60th birthday
##### Keywords
Mathematics - Differential Geometry, 53C40, 53C42