Affiliation:
1. Kuamun University Nainital, SSJ Campus Almora
2. SSJ Campus, SSJ University Almora
Abstract
The objective of present research paper is to be investigate the geometric
properties of ?-Ricci solitons on ?-Einstein para-Kenmotsu manifolds. In
this manner, we consider ?-Ricci solitons on ?-Einstein para-Kenmotsu
manifolds satistfying R.S = 0. Further, we obtain results for ?-Ricci
solitons on ?-Einstein para-Kenmotsu manifolds with quasi-conformal flat
property. Moreover, we get result for ?-Ricci solitins in ?-Einstein
para-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic
parallel Ricci tensor, ?-quasi-conformally semi-symmetric, ?-Ricci symmetric
and quasi-conformally Ricci semi-symmetric. At last, we construct an example
of a such manifold which justify the existence of proper ?-Ricci solitons
Publisher
National Library of Serbia
Reference35 articles.
1. A. Haseeb and R. Prasad, Certain Results on Lorentzian Para-Kenmotsu Manifolds, Bol. Soc. Paran. Math., (2021) no.3, 201-220.
2. A. Gray, Einstein-like manifolds which are not Einstein, Geom. Dedicata 7 (1978), no. 3, 259-280.
3. A. M. Blaga, η-Ricci solitons on Lorentzian para- Sasakian manifolds, Filomat, 30 (2016), no. 2, 489-496.
4. A. Singh and S. Kishor, Some types of η-Ricci solitons on Lorentzian para-Sasakian manifolds, Facta Univ. (NIS) 33(2), 217-230 (2018).
5. C. Calin and M. Crasmareanu, η-Ricci solitons on Hopf hypersurfaces in complex space forms, Rev. Roumaine Math. Pures Appl., 57 (2012), no. 1, 55-63.