On Complete Hypersurfaces with Constant Mean Curvature and Finite L p -norm Curvature in R n+1

Minimal Varieties in Riemannian Manifolds

James Simons · Annals of Mathematics · 1968 · 1.6K citations

Natural Sciences, Geophysics, Geodesy +8

The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature

D. Fischer-Colbrie · Communications on Pure and Applied Mathematics · 1980 · 704 citations

Natural Sciences, Mathematics, Geometry +12

Sobolev and isoperimetric inequalities for riemannian submanifolds

David Hoffman, Joel Spruck · Communications on Pure and Applied Mathematics · 1974 · 412 citations

Natural Sciences, Geophysics, Geodesy +10

Stable complete minimal surfaces in 𝑅³ are planes

Manfredo do Carmo, Cheng Peng · Bulletin of the American Mathematical Society · 1979 · 166 citations · Full text

Natural Sciences, Mathematics, Geometry +5

Stability of complete noncompact surfaces with constant mean curvature

Alexandre M. da Silveira · Mathematische Annalen · 1987 · 96 citations

Natural Sciences, Mathematics, Surface Science +5