Convergence of the Ricci flow toward a unique soliton

Details Convergence of the Ricci flow toward a unique soliton Convergence of the Ricci flow toward a unique soliton

2004-05-20

arxiv.org/abs/math/0405398v1

Mathematics

Differential Geometry

Scientific paper

We will consider a {\it $\tau$-flow}, given by the equation $\frac{d}{dt}g_{ij} = -2R_{ij} + \frac{1}{\tau}g_{ij}$ on a closed manifold $M$, for all times $t\in [0,\infty)$. We will prove that if the curvature operator and the diameter of $(M,g(t))$ are uniformly bounded along the flow and if one of the limit solitons is integrable, then we have a convergence of the flow toward a unique soliton, up to a diffeomorphism.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-552237