pith. sign in

arxiv: 0709.0867 · v1 · submitted 2007-09-06 · 🧮 math.DG · math.AP

On critical normal sections for two-dimensional immersions in R^(n+2)

classification 🧮 math.DG math.AP
keywords normalsectionscriticalimmersionsmathbbtorsiontwo-dimensionalbounds
0
0 comments X
read the original abstract

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 $\mathbb R^4.$

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.