On critical normal sections for two-dimensional immersions in \(\mathbb R^4 \) and a Riemann-Hilbert problem

DOI10.1016/j.difgeo.2008.04.004zbMath1151.53009arXiv0705.3347OpenAlexW2964146574WikidataQ115357554 ScholiaQ115357554MaRDI QIDQ953918

Frank Müller, Steffen Fröhlich

Publication date: 6 November 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3347

zbMATH Keywords

Riemann-Hilbert problemnormal bundlehigher codimensiontwo-dimensional immersions

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (2)

On critical normal sections for two-dimensional immersions in \({\mathbb R^{n+2}}\) ⋮ On the existence of normal Coulomb frames for two-dimensional immersions with higher codimension

Cites Work

• Unnamed Item
• Über die Normaltorision von Flächen im vierdimensionalen euklidischen Raum
• Curvature estimates for graphs with prescribed mean curvature and flat normal bundle
• Bernstein type theorems with flat normal bundle
• Partial differential equations 1. Foundations and integral representations. With consideration of lectures by E. Heinz
• INTRODUCTION OF ISOTHERMAL PARAMETERS INTO A RIEMANNIAN METRIC BY THE CONTINUITY METHOD

This page was built for publication: On critical normal sections for two-dimensional immersions in \(\mathbb R^4 \) and a Riemann-Hilbert problem