A Note on Conformal Ricci Flow

Details A Note on Conformal Ricci Flow A Note on Conformal Ricci Flow

2011-09-25

arxiv.org/abs/1109.5377v1

Mathematics

Differential Geometry

22 pages, no figures

Scientific paper

In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds. We show that Yamabe constant is monotonically increasing along conformal Ricci flow on compact manifolds. We also show that conformal Ricci flow is the gradient flow for the ADM mass on asymptotically flat manifolds.

Affiliated with

Also associated with

No associations

Rating

A Note on Conformal 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 A Note on Conformal Ricci Flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on Conformal Ricci Flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-74309