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arXiv · 0705.3347

On critical normal sections for two-dimensional immersions in R^n and a Riemann-Hilbert problem

Steffen Froehlich·Frank Mueller
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Abstract

For orthonormal normal sections of two-dimensional immersions in R^4 we define torsion coefficients and a functional for the total torsion. We discuss normal sections which are critical for this functional. In particular, a global estimate for the torsion coefficients of a critical normal section in terms of the curvature of the normal bundle is provided.

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Steffen Froehlich, Frank Mueller. 2007-05-23. On critical normal sections for two-dimensional immersions in R^n and a Riemann-Hilbert problem. https://arxiv.org/abs/0705.3347

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