Geodesic
From the Eisenhart Problem to Ricci Solitons in ƒ-Kenmotsu Manifolds
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3
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The Eisenhart problem of finding parallel tensors is solved for the symmetric case in the regular ƒ-Kenmotsu framework. In this way, the Olszack-Rosca example of Einstein manifolds provided by ƒ-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.
Classification : 53C40, 53C55, 53C12, 53C42. 
@article{BMMS_2010_33_3_a1,
     author = {Constantin Calin and Mircea Crasmareanu},
     title = {From the {Eisenhart} {Problem} to {Ricci} {Solitons} in {{\textflorin}-Kenmotsu} {Manifolds}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2010},
     volume = {33},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a1/}
}
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%A Mircea Crasmareanu
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%D 2010
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Constantin Calin; Mircea Crasmareanu. From the Eisenhart Problem to Ricci Solitons in ƒ-Kenmotsu Manifolds. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a1/