Geodesic
Certain properties of η-Ricci soliton on η-Einstein para-Kenmotsu manifolds
Filomat, Tome 37 (2023) no. 28, p. 9575

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DOI

The objective of present research paper is to be investigate the geometric properties of η-Ricci solitons on η-Einstein para-Kenmotsu manifolds. In this manner, we consider η-Ricci solitons on η-Einstein para-Kenmotsu manifolds satistfying R.S = 0. Further, we obtain results for η-Ricci solitons on η-Einstein para-Kenmotsu manifolds with quasi-conformal flat property. Moreover, we get result for η-Ricci solitins in η-Einstein para-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic parallel Ricci tensor, η-quasi-conformally semi-symmetric, η-Ricci symmetric and quasi-conformally Ricci semi-symmetric. At last, we construct an example of a such manifold which justify the existence of proper η-Ricci solitons.
DOI : 10.2298/FIL2328575A
Classification : 53B30, 53C15, 53C21, 53C44
Keywords: η-Ricci solitons, η-Einstein Para-Kenmotsu manifolds, Codazzi Type of Ricci tensor, Cyclic type of Ricci tensor, quasiconformally curvtaure tensor 
Priyanka Almia; Jaya Upreti. Certain properties of η-Ricci soliton on η-Einstein para-Kenmotsu manifolds. Filomat, Tome 37 (2023) no. 28, p. 9575 . doi: 10.2298/FIL2328575A
@article{10_2298_FIL2328575A,
     author = {Priyanka Almia and Jaya Upreti},
     title = {Certain properties of {\ensuremath{\eta}-Ricci} soliton on {\ensuremath{\eta}-Einstein} {para-Kenmotsu} manifolds},
     journal = {Filomat},
     pages = {9575 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328575A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328575A/}
}
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