Geodesic
Hyperbolic Ricci soliton on warped product manifolds
Filomat, Tome 37 (2023) no. 20, p. 6843

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DOI

In this paper, we investigate hyperbolic Ricci soliton as the special solution of hyperbolic geometric flow on warped product manifolds. Then, especially, we study these manifolds admitting either a conformal vector field or a concurrent vector field. Also, the question that:” whether or not a hyperbolic soliton reduces to an Einstein manifold?” is considered and answered. Finally, we obtain some necessary conditions for generalized Robertson-Walker space-time to be a hyperbolic Ricci soliton.
DOI : 10.2298/FIL2320843A
Classification : 53E40, 53C25
Keywords: Warped product manifolds, Hyperbolic Ricci soliton, Concurrent vector fields, Robertson-Walker space-time 
Shahroud Azami; Ghodratallah Fasihi-Ramandi. Hyperbolic Ricci soliton on warped product manifolds. Filomat, Tome 37 (2023) no. 20, p. 6843 . doi: 10.2298/FIL2320843A
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     title = {Hyperbolic {Ricci} soliton on warped product manifolds},
     journal = {Filomat},
     pages = {6843 },
     year = {2023},
     volume = {37},
     number = {20},
     doi = {10.2298/FIL2320843A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320843A/}
}
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