Rigidity and sphere theorem for manifolds with positive Ricci curvature
In the paper complete Riemannian manifolds of positive Ricci curvature with an embedded closed minimal hypersurface are investigated. The author proves results generalizing the following result due to Myers: There exists no closed immersed minimal submanifold in an open hemisphere. In addition a sphere theorem for manifolds of positive Ricci curvature with an upper bound for the sectional curvature and a lower bound for the volume is proved.
scientific article; zbMATH DE number 722247