A Myers-type theorem and compact Ricci solitons

Details A Myers-type theorem and compact Ricci solitons A Myers-type theorem and compact Ricci solitons

2004-03-02

arxiv.org/abs/math/0403052v1

Proc. Amer. Math. Soc. 134 (2006), no. 12, 3645-3648

Mathematics

Differential Geometry

4 pages

Scientific paper

10.1090/S0002-9939-06-08422-X

Let the Ricci curvature of a compact Riemannian manifold be greater, at every
point, than the Lie derivative of the metric with respect to some fixed smooth
vector field. It is shown that the fundamental group then has only finitely
many conjugacy classes. This applies, in particular, to all compact shrinking
Ricci solitons.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-229407