Quasi-positively curved Riemannian manifold
From Diffgeom
This article defines a property that makes sense for a Riemannian metric over a differential manifold
This article defines a property of Riemannian metrics based on the behaviour of the following curvature: sectional curvature
Contents
Definition
A Riemannian manifold is said to have quasi-positive sectional curvature or to be quasi-positively curved if the following are true:
- The sectional curvature is everywhere nonnegative
- There is a point for which the sectional curvature is strictly positive for all tangent planes