Embedded positive constant r-mean curvature hypersurfaces in Mm × R

Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m + 1)-dimensional product manifold M x R with positive constant r-mean curvature. We obtain height estimates of certain compact vertical graphs in M x R with boundary in M x...

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Bibliographic Details
Main Authors: Cheng Xu, Rosenberg Harold
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2005-01-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000200001