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On 2-surfaces in R^4 and R^n

Steffen Froehlich
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Abstract

In this overview report we generalize Erhard Heinz' curvature estimate for minimal graphs in R^3 to graphs in R^n of prescribed mean curvature. Secondly, we analyse these problems in the frame of the outer differential geometry which leads us to the notions of normal torsion and normal curvature for immersions in R^4.

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Steffen Froehlich. 2005-10-25. On 2-surfaces in R^4 and R^n. https://arxiv.org/abs/math/0510498

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