Deformation and stability of surfaces with constant mean curvature

DOI10.2748/tmj/1113247184zbMath1010.58007OpenAlexW2047308799MaRDI QIDQ1607532

Miyuki Koiso

Publication date: 8 October 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247184

zbMATH Keywords

stabilityeigenvalue problemsecond variationarea functionalCMC deformationCMC 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) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (16)

Stability of hypersurfaces of constant mean curvature with free boundary in two parallel hyperplanes ⋮ Stability of surfaces with constant mean curvature bounded by two coaxial circles ⋮ Stable constant mean curvature surfaces with free boundary in slabs ⋮ Bifurcations of minimal surfaces via index theory ⋮ A Continuation Method for Computing Constant Mean Curvature Surfaces with Boundary ⋮ Anisotropic capillary surfaces with wetting energy ⋮ Higher order variations of constant mean curvature surfaces ⋮ Symmetry breaking bifurcation of membranes with boundary ⋮ On the Morse index with constraints: an abstract formulation ⋮ Stability and Bifurcation of a Capillary Surface on a Cylinder ⋮ On the Morse index with constraints for capillary surfaces ⋮ Stability of hypersurfaces with constant mean curvature trapped between two parallel hyperplanes ⋮ Equilibria for anisotropic surface energies with wetting and line tension ⋮ On stable constant mean curvature surfaces in $\mathbb S^2\times \mathbb R$ and $\mathbb H^2\times \mathbb R $ ⋮ CMC spheres in the Heisenberg group ⋮ Stability of helicoidal surfaces with constant mean curvature

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