A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space

Details A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space

2006-10-30

arxiv.org/abs/math/0610943v1

Mathematics

Differential Geometry

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 spacelike hypersurfaces with constant higher order
mean curvature in the Steady State space.

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