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

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

2007-05-23

arxiv.org/abs/0705.3347v1

Mathematics

Differential Geometry

Scientific paper

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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