Geodesic
N(κ)-contact Riemann solitons with certain potential vector fields
Filomat, Tome 37 (2023) no. 30, p. 10369

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DOI

In the present article we find the nature of N(κ)-contact metric manifolds admitting Riemann solitons with some restrictions on the potential vector fields. The cases, when the potential vector field is collinear with the Reeb vector field and when it is infinitesimal contact transformation are specially treated. Moreover, it is proved that if the potential vector field is a gradient vector field, then the manifold considered is isometric to a product manifold. The validity of the obtained results are ensured with two non-trivial examples.
DOI : 10.2298/FIL2330369M
Classification : 53C15, 53D25
Keywords: Nullity distribution, Contact manifolds, N(κ)-contact metric manifolds, Riemann solitons, Gradient Riemann solitons 
Tarak Mandal; Avijit Sarkar. N(κ)-contact Riemann solitons with certain potential vector fields. Filomat, Tome 37 (2023) no. 30, p. 10369 . doi: 10.2298/FIL2330369M
@article{10_2298_FIL2330369M,
     author = {Tarak Mandal and Avijit Sarkar},
     title = {N(\ensuremath{\kappa})-contact {Riemann} solitons with certain potential vector fields},
     journal = {Filomat},
     pages = {10369 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330369M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330369M/}
}
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