Four-dimensional pseudo-Riemannian homogeneous Ricci solitons

Details Four-dimensional pseudo-Riemannian homogeneous Ricci solitons Four-dimensional pseudo-Riemannian homogeneous Ricci solitons

2011-11-28

arxiv.org/abs/1111.6384v2

Mathematics

Differential Geometry

24 pages; Section 3 and 4 have been modified

Scientific paper

We consider four-dimensional homogeneous pseudo-Riemannian manifolds with non-trivial isotropy and completely classify the cases giving rise to non-trivial homogeneous Ricci solitons. In particular, we show the existence of non-compact homogeneous (and also invariant) pseudo-Riemannian Ricci solitons which are not isometric to solvmanifolds, and of conformally flat homogeneous pseudo-Riemannian Ricci solitons which are not symmetric.

Affiliated with

Also associated with

No associations

Rating

Four-dimensional pseudo-Riemannian homogeneous 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 Four-dimensional pseudo-Riemannian homogeneous Ricci solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Four-dimensional pseudo-Riemannian homogeneous Ricci solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67195