Quasi-positively Ricci-curved Riemannian manifold
From Diffgeom
This article defines a property that makes sense for a Riemannian metric over a differential manifold
Contents
Definition
Symbol-free definition
A Riemannian manifold is said to have quasi-positive Ricci curvature or to be quasi-positively Ricci-curved if it satisfies the following two conditions:
- The Ricci curvature is everywhere nonnnegative
- There is a point on the manifold at which the Ricci curvature is strictly positive in all directions
References
- On the structure of complete manifolds on nonnegative Ricci curvature by Jeff Cheeger and Detlef Gromoll