Geodesic
Classification of Torqued Vector Fields and its Applications to Ricci Solitons
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 239 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Recently, the author defined torqued vector fields in [Kragujevac J. Math. 41(1) (2017), 93--103]. In this paper, we classify all torqued vector fields on Riemannian manifolds. Moreover, we investigate Ricci solitons with torqued potential fields. In particular, we prove that every Ricci soliton with torqued potential field is an almost quasi-Einstein manifold; and it is an Einstein manifold if and only if the potential field is a concircular vector field. Some related results on Ricci solitons are also obtained.
Classification : 53C255 53B20
Keywords: Torqued vector field, twisted product, concircular vector field, Ricci soliton, almost quasi-Einstein manifold 
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     author = {Bang-Yen Chen},
     title = {Classification of {Torqued} {Vector} {Fields} and its {Applications} to {Ricci} {Solitons}},
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Bang-Yen Chen. Classification of Torqued Vector Fields and its Applications to Ricci Solitons. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 239 . http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a4/