Geodesic
Generalized m-quasi-Einstein metric on certain almost contact manifolds
Filomat, Tome 36 (2022) no. 20, p. 6991

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DOI

In this paper, we study the generalized m-quasi-Einstein metric in the context of contact geometry. First, we prove if an H-contact manifold admits a generalized m-quasi-Einstein metric with non-zero potential vector field V collinear with ξ, then M is K-contact and η-Einstein. Moreover, it is also true when H-contactness is replaced by completeness under certain conditions. Next, we prove that if a complete K-contact manifold admits a closed generalized m-quasi-Einstein metric whose potential vector field is contact then M is compact, Einstein and Sasakian. Finally, we obtain some results on a 3-dimensional normal almost contact manifold admitting generalized m-quasi-Einstein metric.
DOI : 10.2298/FIL2220991S
Classification : 53C20, 53C25, 53D15
Keywords: Generalized m-quasi-Einstein, K-contact, H-contact, normal almost contact manifold, Einstein manifold 
Jay Prakash Singh; Mohan Khatri. Generalized m-quasi-Einstein metric on certain almost contact manifolds. Filomat, Tome 36 (2022) no. 20, p. 6991 . doi: 10.2298/FIL2220991S
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     author = {Jay Prakash Singh and Mohan Khatri},
     title = {Generalized {m-quasi-Einstein} metric on certain almost contact manifolds},
     journal = {Filomat},
     pages = {6991 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220991S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220991S/}
}
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