The area of the generalized Gaussian image and the stability of minimal surfaces in \(S^ n\) and \(R^ n\).

DOI10.1007/BF01457023zbMath0471.53037MaRDI QIDQ1157599

Robert Osserman, David A. Hoffman

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163679

zbMATH Keywords

stabilityGauss maptotal absolute curvatureconformal generalized minimal immersion

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)

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Schrödinger operators and index bounds for minimal submanifolds, On the size of stable minimal surfaces in \(\mathbb{R}^4\), Harmonic mappings and minimal submanifolds, Some properties of extremals of the functional of potential energy, On instability of extremals of potential energy functional, Isometric deformations of surfaces preserving the third fundamental form, Three-dimensional flattening of a surface when two of its integral characteristics coincide, Reduction of codimension of regular immersions, On stable extremals of the potential energy functional, On Immersed Compact Submanifolds of Euclidean Space, Remarks on the Rigidity and Stability of Minimal Submanifolds

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