Maximum principle for semi-elliptic trace operators and geometric applications
Differential Geometry
2012-08-08 v1
Abstract
Based on ideas of L. Al\'ias, D. Impera and M. Rigoli developed in "Hypersurfaces of constant higher order mean curvature in warped products", we develope a fairly general weak/Omori-Yau maximum principle for trace operators. We apply this version of maximum principle to generalize several higher order mean curvature estimates and to give an extension of Alias-Impera-Rigoli Slice Theorem
Cite
@article{arxiv.1208.1322,
title = {Maximum principle for semi-elliptic trace operators and geometric applications},
author = {G. Pacelli Bessa and Leandro F. Pessoa},
journal= {arXiv preprint arXiv:1208.1322},
year = {2012}
}