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UNIQUENESS OF COMPLETE HYPERSURFACES WITH BOUNDED HIGHER ORDER MEAN CURVATURES IN SEMI-RIEMANNIAN WARPED PRODUCTS

Published online by Cambridge University Press:  09 December 2011

C. P. AQUINO  and
H. F. DE LIMA
C. P. AQUINO
Affiliation:
Departamento de Matemática, Universidade Federal do Piauí, Teresina, Piauí, 64049-550, Brazil Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, Ceará, 60455-760, Brazil e-mail: [email protected]
H. F. DE LIMA
Affiliation:
Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Campina Grande, Paraíba, 58109-970, Brazil e-mail: [email protected]
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Abstract

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In this paper, we deal with complete hypersurfaces immersed with bounded higher order mean curvatures in steady state-type spacetimes and in hyperbolic-type spaces. By applying a generalised maximum principle for the Yau's square operator [11], we obtain uniqueness results in each of these ambient spaces.

Keywords

Primary 53C42Secondary 53B3053C5053Z0583C99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 1 , January 2012 , pp. 201 - 212
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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