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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129406For 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.Differential GeometryAnalysis of PDEs53A07; 53A10; 30G20On critical normal sections for two-dimensional immersions in R^n and a Riemann-Hilbert problemtext