Quasi-positively curved Riemannian manifold

From Diffgeom
Revision as of 19:51, 18 May 2008 by Vipul (talk | contribs) (4 revisions)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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


A Riemannian manifold M 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

Relation with other properties

Stronger properties

Weaker properties