Sweeping out sectional curvature

Details Sweeping out sectional curvature Sweeping out sectional curvature

2011-06-19

arxiv.org/abs/1106.3736v3

Mathematics

Differential Geometry

11 pages

Scientific paper

We observe that the maximal open set of constant curvature k in a Riemannian
manifold with curvature bounded below or above by k has a convexity type
property, which we call "two-convexity". This statement is used to prove a
number of rigidity statements in comparison geometry.

Affiliated with

Also associated with

No associations

Rating

Sweeping out sectional curvature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sweeping out sectional curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sweeping out sectional curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-723207