An index characterization of the catenoid and index bounds for minimal surfaces in \(R^ 4\)
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Publication:1819443
DOI10.2140/pjm.1988.134.251zbMath0613.58030OpenAlexW2076635420MaRDI QIDQ1819443
Publication date: 1988
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1988.134.251
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Index theory and related fixed-point theorems on manifolds (58J20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Related Items (7)
Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds ⋮ Schrödinger operators and index bounds for minimal submanifolds ⋮ Uniqueness of the catenoid and the Delaunay surface via a one-parameter family of touching spheres ⋮ Index, vision number and stability of complete minimal surfaces ⋮ Minimal annuli with constant contact angle along the planar boundaries ⋮ An application of Gesztesy-Simon-Teschl oscillation theory to a problem in differential geometry ⋮ Upper bounds for the index of minimal surfaces
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