Lectures on normal Coulomb frames in the normal bundle of twodimensional immersionen of higher codimension

TL;DR

This paper proves existence and regularity of normal Coulomb frames for two-dimensional surfaces embedded in higher-dimensional Euclidean spaces, advancing the mathematical understanding of their geometric properties.

Contribution

It introduces new existence and regularity results for normal Coulomb frames in the context of higher codimension surfaces.

Findings

Existence of normal Coulomb frames established

Regularity results proven for these frames

Enhanced understanding of geometric structures in higher codimension

Abstract

We establish existence and regularity results for normal Coulomb frames in the normal bundle of two-dimensional surfaces of disc-type embedded in Euclidean spaces of higher dimensions.