Convex functions on Grassmannian manifolds and Lawson-Osserman problem
Differential Geometry
2008-06-27 v1
Abstract
We derive estimates of the Hessian of two smooth functions defined on Grassmannian manifold. Based on it, we can derive curvature estimates for minimal submanifolds in Euclidean space via Gauss map. In this way, the result for Bernstein type theorem done by Jost and the first author could be improved.
Cite
@article{arxiv.0806.4247,
title = {Convex functions on Grassmannian manifolds and Lawson-Osserman problem},
author = {Y. L. Xin and Ling Yang},
journal= {arXiv preprint arXiv:0806.4247},
year = {2008}
}
Comments
27 pages