Geodesic
On three-dimensional (m, ρ)-quasi-Einstein n(κ)-contact metric manifold
Filomat, Tome 35 (2021) no. 8, p. 2801

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DOI

(m, ρ)-quasi-Einstein N(κ)-contact metric manifolds have been studied and it is established that if such a manifold is a (m, ρ)-quasi-Einstein manifold, then the manifold is a manifold of constant sectional curvature κ. Further analysis has been done for gradient Einstein soliton, in particular. Obtained results are supported by an illustrative example
DOI : 10.2298/FIL2108801S
Classification : 53C25, 53C15, 53D10
Keywords: Generalized quasi-Einstein manifolds, (m, ρ)-quasi-Einstein manifolds, Gradient Einstein solitons, Contact metric manifolds, (κ, µ)-contact metric manifolds, N(κ)-contact metric manifolds 
Avijit Sarkar; Uday C; and De; Gour Gopal Biswas. On three-dimensional (m, ρ)-quasi-Einstein n(κ)-contact metric manifold. Filomat, Tome 35 (2021) no. 8, p. 2801 . doi: 10.2298/FIL2108801S
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     author = {Avijit Sarkar and Uday C and and De and Gour Gopal Biswas},
     title = {On three-dimensional (m, {\ensuremath{\rho})-quasi-Einstein} n(\ensuremath{\kappa})-contact metric manifold},
     journal = {Filomat},
     pages = {2801 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108801S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108801S/}
}
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