Geodesic
Η-Ricci solitons on N(k)-contact metric manifolds
Filomat, Tome 35 (2021) no. 11, p. 3879

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DOI

In this paper, we study η-Ricci solitons on N(k)-contact metric manifolds. At first we consider η-Ricci solitons on N(k)-contact metric manifolds with harmonic curvature tensor. Then we study η-Ricci solitons on N(k)-contact metric manifolds with harmonic Weyl tensor. Moreover, we consider η-Ricci soliton on N(k)-contact metric manifolds with η-parallel Ricci tensor. Also η-Ricci soliton on N(k)-contact metric manifolds satisfying some curvature restrictions under projective curvature tensor have been considered. Finally, the existence of an η-Ricci soliton on a 3-dimensional N(k)-contact metric manifold is ensured by a proper example
DOI : 10.2298/FIL2111879S
Classification : 53C25, 53C15, 53D10
Keywords: Ricci soliton, eta-Ricci soliton, N(k)-contact metric manifolds, harmonic curvature tensor, harmonic Weyl tensor, eta-parallel Ricci tensor, projective curvature tensor 
Avijit Sarkar; Arpan Sardar. Η-Ricci solitons on N(k)-contact metric manifolds. Filomat, Tome 35 (2021) no. 11, p. 3879 . doi: 10.2298/FIL2111879S
@article{10_2298_FIL2111879S,
     author = {Avijit Sarkar and Arpan Sardar},
     title = {H-Ricci solitons on {N(k)-contact} metric manifolds},
     journal = {Filomat},
     pages = {3879 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111879S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111879S/}
}
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