Cotton flow

Details Cotton flow Cotton flow

2008-03-11

arxiv.org/abs/0803.1603v2

Class.Quant.Grav.25:165019,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures, exact solutions of two geometries given, exposition of several parts expanded, references updated

Scientific paper

10.1088/0264-9381/25/16/165019

Using the conformally invariant Cotton tensor, we define a geometric flow, the "Cotton flow", which is exclusive to three dimensions. This flow tends to evolve the initial metrics into conformally flat ones, and is somewhat orthogonal to the Yamabe flow, the latter being a flow within a conformal class. We define an entropy functional, and study the flow of nine homogeneous spaces both numerically and analytically. In particular, we show that the arbitrarily deformed homogeneous 3-sphere flows into the round 3-sphere. Two of the nine homogeneous geometries, which are degenerated by the Ricci flow, are left intact by the Cotton flow.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-286021