Curvature estimates for minimal submanifolds of higher codimension and small G-rank

J. Jost; Y. L. Xin; Ling Yang

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arXiv · 1210.2031

Curvature estimates for minimal submanifolds of higher codimension and small G-rank

J. Jost·Y. L. Xin·Ling Yang

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Abstract

We obtain new curvature estimates and Bernstein type results for minimal $n-$submanifolds in $\ir{n+m},\, m\ge 2$ under the condition that the rank of its Gauss map is at most 2. In particular, this applies to minimal surfaces in Euclidean spaces of arbitrary codimension.

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BibTeX RIS

J. Jost, Y. L. Xin, Ling Yang. 2012-11-08. Curvature estimates for minimal submanifolds of higher codimension and small G-rank. https://arxiv.org/abs/1210.2031

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