Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds |
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| Authors: | A. Caminha and Henrique F. de Lima |
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| Affiliation: | (1) Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, Ceará, 60455-760, Brazil;(2) Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Campina Grande, Paraíba, 58109-970, Brazil |
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| Abstract: | We derive, for the square operator of Yau, an analogue of the Omori–Yau maximum principle for the Laplacian. We then apply it to obtain nonexistence results concerning complete noncompact spacelike hypersurfaces immersed with constant higher order mean curvature in a conformally stationary Lorentz manifold. |
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| Keywords: | Lorentz manifolds Timelike conformal vector field Spacelike hypersurfaces Higher order mean curvatures Yau’ s square operator |
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