On Complete Manifolds With Nonnegative Ricci Curvature
On Complete Manifolds With Nonnegative Ricci Curvature
Complete open Riemannian manifolds (M n , g) with nonnegative sectional curvature are well understood.The basic results are Toponogov's Splitting Theorem and the Soul Theorem [CGI].The Splitting Theorem has been extended to manifolds of nonnegative Ricci curvature [CG2].On the other hand, the Soul Theorem does not extend even topologically, according …