The second variation of area of minimal surfaces in four-manifolds

Minimal Varieties in Riemannian Manifolds

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

Natural Sciences, Geophysics, Geodesy +8

Self-duality in four-dimensional Riemannian geometry

Michael Atiyah, Nigel Hitchin, I. M. Singer · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1978 · 1.5K citations

Natural Sciences, Mathematics, Physics +17

The Existence of Minimal Immersions of 2-Spheres

J. Sacks, Karen Uhlenbeck · Annals of Mathematics · 1981 · 886 citations

Natural Sciences, Mathematics, Geometry +8

Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Shing–Tung Yau · Annals of Mathematics · 1979 · 627 citations

Natural Sciences, Mathematics, Topology +13

Minimal immersions of surfaces in Euclidean spheres

Eugenio Calabi · Journal of Differential Geometry · 1967 · 382 citations · Full text

Natural Sciences, Mathematics, Geometry +9