Gromov introduced several notions of largeness of Riemannian manifolds and proved that they are all equivalent for manifolds of nonnegative sectional curvature. In this paper, we study the equivalence of these notions in the case of nonnegative Ricci curvature and in particular we give an affirmative answer to one of Gromov's open questions.
- Mathematics Subject Classification (1991): 53C20
ASJC Scopus subject areas
- Geometry and Topology