Convexity of Domains of Riemannian Manifolds

The Imbedding Problem for Riemannian Manifolds

John C. Nash · Annals of Mathematics · 1956 · 958 citations

Riemannian Geometry, Manifold Modeling, Imbedding Problem +1

The existence of complete Riemannian metrics

Katsumi Nomizu, Hideki Ozeki · Proceedings of the American Mathematical Society · 1961 · 155 citations · Full text

Second Axiom, Global Geometry, Geometry +6

Infinitesimal Convexity Implies Local Convexity

Richard L. Bishop · Indiana University Mathematics Journal · 1974 · 42 citations · Full text

Integral Geometry, Global Geometry, Engineering +11

Geodesic connectedness of semi-Riemannian manifolds

Miguel Sánchez · Nonlinear Analysis · 2001 · 37 citations

Geodesic Connectedness, Global Geometry, Geometry +2

The existence of geodesics joining two given points

William B. Gordon · Journal of Differential Geometry · 1974 · 20 citations · Full text

Global Geometry, Riemannian Manifold, Geometry