A version of the Ruh-Vilms theorem for surfaces of constant mean curvature in \(S^3\)

DOI10.1023/A:1022126101717zbMath1044.53007OpenAlexW142753777MaRDI QIDQ1810278

L. A. Masal'tsev

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022126101717

zbMATH Keywords

Gauss mapharmonic maptotally geodesic surfaceGrassmannian map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications ⋮ An extension of Ruh-Vilms’ theorem to hypersurfaces in symmetric spaces and some applications

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