Index, vision number and stability of complete minimal surfaces

DOI10.1007/BF00375088zbMath0695.53045MaRDI QIDQ910025

Jaigyoung Choe

Publication date: 1990

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite total curvatureminimal surfacesindexvision number

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Helix submanifolds of Euclidean spaces ⋮ Helix, shadow boundary and minimal submanifolds ⋮ Index and topology of minimal hypersurfaces in \(\mathbb {R}^n\) ⋮ Indices of some meromorphic functions of degree \(3\) on tori ⋮ On the topology and index of minimal surfaces. II ⋮ Comparison between second variation of area and second variation of energy of a minimal surface ⋮ The second variation of nonorientable minimal submanifolds ⋮ A new bound on the Morse index of constant mean curvature tori of revolution in \(\mathbb S^3\) ⋮ A compact minimal shadow boundary in Euclidean space is totally geodesic ⋮ An application of Gesztesy-Simon-Teschl oscillation theory to a problem in differential geometry ⋮ On the Morse index of branched Willmore spheres in 3-space ⋮ On the index of minimal surfaces with free boundary in a half-space

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