Convergence of compact Ricci solitons

Details Convergence of compact Ricci solitons Convergence of compact Ricci solitons

2008-04-07

arxiv.org/abs/0804.1158v1

Mathematics

Differential Geometry

Scientific paper

We show that sequences of compact gradient Ricci solitons converge to complete orbifold gradient solitons, assuming constraints on volume, the $L^{n/2}$-norm of curvature, and the auxiliary constant $C_1$. The strongest results are in dimension 4, where $L^2$ curvature bounds are equivalent to upper bounds on the Euler number. We obtain necessary and sufficient conditions for limits to be compact.

Affiliated with

Also associated with

No associations

Rating

Convergence of compact Ricci 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 Convergence of compact Ricci solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of compact Ricci solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539747