On critical normal sections for two-dimensional immersions in R^{n+2}

Details On critical normal sections for two-dimensional immersions in R^{n+2} On critical normal sections for two-dimensional immersions in R^{n+2}

2007-09-06

arxiv.org/abs/0709.0867v1

Mathematics

Differential Geometry

Scientific paper

We study orthonormal normal sections of two-dimensional immersions in
$\mathbb R^{n+2},$ $n\ge 2$, at which these sections are critical for a
functional of total torsion. In particular, we establish upper bounds for the
torsion coefficients in the case of non-flat normal bundles. With these notes
we continue a foregoing paper on surfaces in $\mathbb R^4.$

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