Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature

Certain conditions for a Riemannian manifold to be isometric with a sphere

Morio Obata · Journal of the Mathematical Society of Japan · 1962 · 711 citations · Full text

Natural Sciences, Anatomy, Relativity +10

Embedded Minimal Surfaces, Exotic Spheres, and Manifolds with Positive Ricci Curvature

William H. Meeks, Leon Simon, Shing–Tung Yau · Annals of Mathematics · 1982 · 320 citations

Natural Sciences, Mathematics, Geometry +8

A differential equation arising from scalar curvature function

Osamu Kobayashi · Journal of the Mathematical Society of Japan · 1982 · 129 citations · Full text

Natural Sciences, Mathematics, Physics +14

Manifolds of Riemannian metrics with prescribed scalar curvature

Arthur E. Fischer, Jerrold E. Marsden · Bulletin of the American Mathematical Society · 1974 · 103 citations · Full text

Natural Sciences, Physics, Geometry +12

On the topology of black holes

Gregory J. Galloway · Communications in Mathematical Physics · 1993 · 54 citations

Natural Sciences, Mathematics, Physics +12