Curvature estimates for minimal submanifolds of higher codimension
classification
🧮 math.DG
keywords
codimensioncurvatureestimateshigherminimalresultssubmanifoldsarbitrary
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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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