Curvature estimates for minimal submanifolds of higher codimension
Differential Geometry
2007-09-25 v1
Abstract
We derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau's results and Ecker-Huisken's results are generalized to higher codimension. In this way we improve Hildebrandt-Jost-Widman's result for the Bernstein type theorem.
Keywords
Cite
@article{arxiv.0709.3686,
title = {Curvature estimates for minimal submanifolds of higher codimension},
author = {Y. L. Xin and Ling Yang},
journal= {arXiv preprint arXiv:0709.3686},
year = {2007}
}
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21 pages