From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds

Details From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds

2010-06-16

arxiv.org/abs/1006.3132v1

Mathematics

Differential Geometry

12 pages

Scientific paper

The Eisenhart problem of finding parallel tensors is solved for the symmetric case in the regular $f$-Kenmotsu framework. On this way, the Olszack-Rosca example of Einstein manifolds provided by $f$-Kenmotsu manifolds via locally symmetric Ricci tensors is recovered as well as a case of Killing vector fields. Some other classes of Einstein-Kenmotsu manifolds are presented. Our result is interpreted in terms of Ricci solitons and special quadratic first integrals.

Affiliated with

Also associated with

No associations

Rating

From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds 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 From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100052