Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds

Details Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds Complete spacelike hypersurfaces in conformally stationary Lorentz manifolds

Jan 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41..173c&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 1, pp.173-189

Computer Science

Lorentz Manifolds, Timelike Conformal Vector Field, Spacelike Hypersurfaces, Higher Order Mean Curvatures, Yau'S Square Operator, Yau’S Square Operator

Scientific paper

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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