A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space
Differential Geometry
2007-05-23 v1
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 spacelike hypersurfaces with constant higher order mean curvature in the Steady State space.
Keywords
Cite
@article{arxiv.math/0610943,
title = {A Generalized Maximum Principle for Yau's Square Operator, with Applications to the Steady State Space},
author = {Antonio Caminha and Henrique de Lima},
journal= {arXiv preprint arXiv:math/0610943},
year = {2007}
}