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Complete spacelike hypersurfaces in a Robertson–Walker spacetime

Published online by Cambridge University Press:  13 July 2011

ALMA L. ALBUJER ,
FERNANDA E. C. CAMARGO  and
HENRIQUE F. DE LIMA
ALMA L. ALBUJER
Affiliation:
Departamento de Matemáticas, Campus Universitario de Rabanales, Universidad de Córdoba, 14071 Córdoba, Spain. e-mail: [email protected]
FERNANDA E. C. CAMARGO
Affiliation:
Departamento de Matemática, Universidade Federal do Ceará, 60455-760 Fortaleza, Ceará, Brazil. e-mail: [email protected]
HENRIQUE F. DE LIMA
Affiliation:
Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, 58109-970 Campina Grande, Paraíba, Brazil. e-mail: [email protected]
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Abstract

In this paper, as a suitable application of the well-known generalized maximum principle of Omori–Yau, we obtain uniqueness results concerning to complete spacelike hypersurfaces with constant mean curvature immersed in a Robertson–Walker (RW) spacetime. As an application of such uniqueness results for the case of vertical graphs in a RW spacetime, we also get non-parametric rigidity results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 2 , September 2011 , pp. 271 - 282
Copyright
Copyright © Cambridge Philosophical Society 2011

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