Curvature estimates for minimal submanifolds of higher codimension

Details Curvature estimates for minimal submanifolds of higher codimension Curvature estimates for minimal submanifolds of higher codimension

2007-09-24

arxiv.org/abs/0709.3686v1

Mathematics

Differential Geometry

21 pages

Scientific paper

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.

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