Geodesic
A note on Ricci and Yamabe solitons on almost Kenmotsu manifolds
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2.

Voir la notice de l'article provenant de la source Novi sad journal of mathematics website

The object of the present paper is to study almost Kenmotsu manifolds admitting Ricci and Yamabe solitons with conformal Reeb foliation. We found that there exist no non-zero parallel $2$-form in such a manifold with conformal Reeb foliation. We also study the torque and concurrent vector fields on almost Kenmotsu manifolds. Next we prove certain condition for a vector field to be Killing. Finally, we construct an example to verify some results.
Publié le :
DOI : 10.30755/NSJOM.13375
Classification : 53C15, 53C25
Keywords: almost Kenmotsu manifold, Reeb foliation, contact transformation, Ricci soliton, Yamabe soliton 
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     author = {H. \"Ozt\'{u}rk and S. K. Yadav},
     title = {A note on {Ricci} and {Yamabe} solitons on almost {Kenmotsu} manifolds},
     journal = {Novi Sad Journal of Mathematics},
     pages = {223 - 239},
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H. Öztűrk; S. K. Yadav. A note on Ricci and Yamabe solitons on almost Kenmotsu manifolds. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 2. doi : 10.30755/NSJOM.13375. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13375/

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