New applications of mapping degrees to minimal surface theory

DOI10.4310/JDG/1214442640zbMath0638.58005OpenAlexW1567394498WikidataQ115182889 ScholiaQ115182889MaRDI QIDQ1099453

Brian White

Publication date: 1989

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214442640

zbMATH Keywords

minimal hypersurfaceminimal surfacesHardt-Simon minimal foliationparametric elliptic functionals

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (11)

Minimal surfaces bounded by a pair of convex planar curves ⋮ Minimal planes in asymptotically flat three-manifolds ⋮ Smooth Compactness for Spaces of Asymptotically Conical Self-Expanders of Mean Curvature Flow ⋮ The Asymptotic Behavior of Properly Embedded Minimal Surfaces of Finite Topology ⋮ A variational approach to the existence of complete embedded minimal surfaces ⋮ Construction of minimal annuli in \(\widetilde{\mathrm{PSL}}_2(\mathbb{R},\tau)\) via a variational method ⋮ Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications ⋮ Every three-sphere of positive Ricci curvature contains a minimal embedded torus ⋮ Asymptotically flat three-manifolds contain minimal planes ⋮ The space of asymptotically conical self-expanders of mean curvature flow ⋮ Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds

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