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Generalized maximum principles and the rigidity of complete spacelike hypersurfaces

Published online by Cambridge University Press:  16 August 2012

FERNANDA CAMARGO ,
ANTONIO CAMINHA ,
HENRIQUE DE LIMA  and
ULISSES PARENTE
FERNANDA CAMARGO
Affiliation:
Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, Ceará, 60455-760, Brazil. e-mail: fernanda@mat.ufc.br
ANTONIO CAMINHA
Affiliation:
Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, Ceará, 60455-760, Brazil. e-mail: caminha@mat.ufc.br
HENRIQUE DE LIMA
Affiliation:
Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, 58109-970 Campina Grande, Paraíba, Brazil. e-mail: henrique@dme.ufcg.edu.br
ULISSES PARENTE
Affiliation:
Faculdade de Educação, Ciências e Letras do Sertão Central Universidade Estadual do Ceará, Quixadá, Ceará, 63900-000, Brazil. e-mail: ulisseslimaparente@gmail.com
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Abstract

In this paper, we apply several forms of generalized maximum principles to the study of the uniqueness of complete, non-compact spacelike hypersurfaces immersed in a class of Lorentzian warped products obeying a suitable convergence condition.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 3 , November 2012 , pp. 541 - 556
Copyright
Copyright © Cambridge Philosophical Society 2012

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