Geodesic
Certain results of conformal and * -conformal Ricci soliton on para-cosymplectic and para-Kenmotsu manifolds
Filomat, Tome 35 (2021) no. 15, p. 5001

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The goal of the paper is to deliberate conformal Ricci soliton and *-conformal Ricci soliton within the framework of paracontact geometry. Here we prove that if an η-Einstein para-Kenmotsu manifold admits conformal Ricci soliton and *-conformal Ricci soliton, then it is Einstein. Further we have shown that 3-dimensional para-cosymplectic manifold is Ricci flat if the manifold satisfies conformal Ricci soliton where the soliton vector field is conformal. We have also constructed some examples of para-Kenmotsu manifold that admits conformal and *-conformal Ricci soliton and verify our results
DOI : 10.2298/FIL2115001S
Classification : 53C15, 53C21, 53C25, 53E20
Keywords: Ricci flow, conformal Ricci soliton, ∗-conformal Ricci soliton, para-Kenmotsu manifold, para-cosymplectic manifold 
Sumanjit Sarkar; Santu Dey; Xiaomin Chen. Certain results of conformal and * -conformal Ricci soliton on para-cosymplectic and para-Kenmotsu manifolds. Filomat, Tome 35 (2021) no. 15, p. 5001 . doi: 10.2298/FIL2115001S
@article{10_2298_FIL2115001S,
     author = {Sumanjit Sarkar and Santu Dey and Xiaomin Chen},
     title = {Certain results of conformal and * -conformal {Ricci} soliton on para-cosymplectic and {para-Kenmotsu} manifolds},
     journal = {Filomat},
     pages = {5001 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115001S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115001S/}
}
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