Curvature estimates for graphs with prescribed mean curvature and flat normal bundle
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We consider graphs Sigma^n in R^m with prescribed mean curvature and flat normal bundle. Using techniques of Schoen, Simon and Yau, and Ecker-Huisken, we derive an interior curvature estimate of the form |A|^2<=C/R^2 up to dimension n<=5, where C is a constant depending on natural geometric data of Sigma^n only. This generalizes previous results of Smoczyk, Wang and Xin, and Wang for minimal graphs with flat normal bundle.
Keywords
Cite
@article{arxiv.math/0603659,
title = {Curvature estimates for graphs with prescribed mean curvature and flat normal bundle},
author = {Steffen Froehlich and Sven Winklmann},
journal= {arXiv preprint arXiv:math/0603659},
year = {2007}
}