From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds
Călin, Constantin ; Crasmareanu, Mircea
arXiv, 1006.3132 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2010-06-16
Classification:  Mathematics - Differential Geometry,  53C40, 53C55, 53C12, 53C42 
@article{1006.3132,
     author = {C\u alin, Constantin and Crasmareanu, Mircea},
     title = {From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1006.3132}
}

Călin, Constantin; Crasmareanu, Mircea. From the Eisenhart problem to Ricci solitons in $f$-Kenmotsu manifolds. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1006.3132/