Curvature, sphere theorems, and the Ricci flow

Details Curvature, sphere theorems, and the Ricci flow Curvature, sphere theorems, and the Ricci flow

2010-01-13

arxiv.org/abs/1001.2278v2

Mathematics

Differential Geometry

This is an invited contribution for the Bulletin of the AMS

Scientific paper

This is a survey paper focusing on the interplay between the curvature and topology of a Riemannian manifold. The first part of the paper provides a background discussion, aimed at non-experts, of Hopf's pinching problem and the Sphere Theorem. In the second part, we sketch the proof of the Differentiable Sphere Theorem, and discuss various related results. These results employ a variety of methods, including geodesic and minimal surface techniques as well as Hamilton's Ricci flow.

Affiliated with

Also associated with

No associations

Rating

Curvature, sphere theorems, and the Ricci flow 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 Curvature, sphere theorems, and the Ricci flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature, sphere theorems, and the Ricci flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526171