Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-25T07:46:59.482Z Has data issue: false hasContentIssue false
  • English
  • Français

RIGIDITY RESULTS FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN THE DE SITTER SPACE

Published online by Cambridge University Press:  24 March 2006

A. BRASIL ,
ROSA M. B. CHAVES  and
A. G. COLARES
A. BRASIL
Affiliation:
Departamento de Matemática-UFC, e-mail: [email protected], URL: http://www.mat.ufc.br
ROSA M. B. CHAVES
Affiliation:
Departamento de Matemática-IMEUSP, e-mail: [email protected], URL: http://www.ime.usp.br
A. G. COLARES
Affiliation:
Departamento de Matemática-UFC, e-mail: [email protected], URL: http://www.mat.ufc.br
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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 $S_p^{n+p}(1)$.

Keywords

53C4253A10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 1 - 10
Copyright
2006 Glasgow Mathematical Journal Trust