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

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.

References in corpus (1)

• Curvature estimates for graphs with prescribed mean curvature and flat normal bundle