On a classification of the gradient shrinking solitons

Details On a classification of the gradient shrinking solitons On a classification of the gradient shrinking solitons

2007-10-16

arxiv.org/abs/0710.3194v1

Mathematics

Differential Geometry

Scientific paper

The main purpose of this article is to provide an alternate proof to a result of Perelman on gradient shrinking solitons. In dimension three we also generalize the result by removing the $\kappa$-non-collapsing assumption. In high dimension this new method allows us to prove a classification result on gradient shrinking solitons with vanishing Weyl curvature tensor, which includes the rotationally symmetric ones.

Affiliated with

Also associated with

No associations

Rating

On a classification of the gradient shrinking solitons 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 On a classification of the gradient shrinking solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a classification of the gradient shrinking solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11339