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RIGIDITY RESULTS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE DE SITTER SPACE
Published online by Cambridge University Press: 24 March 2006
Abstract
In this work we consider a complete spacelike submanifold $M^{n}$ immersed in the De Sitter space $S_{p}^{n+p}(1)$ with parallel mean curvature vector. We use a Simons type inequality to obtain some rigidity results characterizing umbilical submanifolds and hyperbolic cylinders in $S_p^{n+p}(1)$.
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- Research Article
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- 2006 Glasgow Mathematical Journal Trust
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