Rigidity of min-max minimal spheres in three-manifolds

Details Rigidity of min-max minimal spheres in three-manifolds Rigidity of min-max minimal spheres in three-manifolds

2011-05-23

arxiv.org/abs/1105.4632v1

Mathematics

Differential Geometry

Scientific paper

In this paper we consider min-max minimal surfaces in three-manifolds and prove some rigidity results. For instance, we prove that any metric on a 3-sphere which has scalar curvature greater than or equal to 6 and is not round must have an embedded minimal sphere of area strictly smaller than $4\pi$ and index at most one. If the Ricci curvature is positive we also prove sharp estimates for the width.

Affiliated with

Also associated with

No associations

Rating

Rigidity of min-max minimal spheres in three-manifolds 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 Rigidity of min-max minimal spheres in three-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rigidity of min-max minimal spheres in three-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514461