A short proof of the minimality of Simons cone

DOI10.4171/RSMUP/121-14zbMath1165.53305OpenAlexW2066201308MaRDI QIDQ2389065

Guido De Philippis, Emmanuele Paolini

Publication date: 22 July 2009

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108759

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (11)

Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to the Simons cone ⋮ On De Giorgi's conjecture: recent progress and open problems ⋮ Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\) ⋮ Quantitative isoperimetric inequalities in \(\mathbb H^n\) ⋮ On the Boundary Behavior of Mass-Minimizing Integral Currents ⋮ On area-minimizing Pfaffian varieties ⋮ A proof by foliation that Lawson's cones are \(A_{\Phi}\)-minimizing ⋮ Cheeger \(N\)-clusters ⋮ Existence and regularity of minimizers for some spectral functionals with perimeter constraint ⋮ On \(\alpha \)-minimizing hypercones ⋮ Implicit time discretization for the mean curvature flow of mean convex sets

Cites Work

• On calibrations for Lawson's cones
• Minimal cones and the Bernstein problem
• The Equivariant Plateau Problem and Interior Regularity
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