φ (Ric)-vector fields on warped product manifolds and applications
| buir.contributor.author | Ünal, Bülent | |
| buir.contributor.orcid | Ünal, Bülent|0000-0002-9563-8108 | |
| dc.citation.epage | 1716 | en_US |
| dc.citation.spage | 1709 | en_US |
| dc.citation.volumeNumber | 32 | en_US |
| dc.contributor.author | Chand De, U. | |
| dc.contributor.author | Shenawy, S. | |
| dc.contributor.author | Ünal, Bülent | |
| dc.date.accessioned | 2022-02-16T11:48:12Z | |
| dc.date.available | 2022-02-16T11:48:12Z | |
| dc.date.issued | 2021-11 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Sufficient and necessary conditions are provided on warped product manifolds and their base and fiber manifolds for a vector field φj to be a φ(Ric)-vector field , that is, ∇iφj=μRij where Rij is the Ricci tensor of M and μ is a scalar. Two warped product space-times admitting φ(Ric)-vector fields are considered. Lorentzian quasi-Einstein manifolds admitting a time-like φ(Ric)-vector field are shown to be either Ricci simple or a perfect fluid GRW space-time. The generators of a Lorentzian generalized quasi-Einstein manifold admitting a time-like φ(Ric)-vector field are eigenvectors of the Ricci tensor with zero eigenvalue. | en_US |
| dc.identifier.doi | 10.1007/s13370-021-00930-5 | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/77423 | |
| dc.language.iso | English | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s13370-021-00930-5 | en_US |
| dc.source.title | Afrika Matematika | en_US |
| dc.subject | ϕ (Ric)-vector field | en_US |
| dc.subject | Quasi-Einstein | en_US |
| dc.subject | Perfect fluid | en_US |
| dc.subject | Generalized Robertson–Walker space-time | en_US |
| dc.title | φ (Ric)-vector fields on warped product manifolds and applications | en_US |
| dc.type | Article | en_US |
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