Open Accessη-Ricci solitons on N(k)-contact metric manifolds
Author(s) -
Avijit Sarkar,
Arpan Sardar
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111879s
Subject(s) - ricci curvature , ricci decomposition , mathematics , riemann curvature tensor , curvature of riemannian manifolds , weyl tensor , metric (unit) , metric tensor , manifold (fluid mechanics) , curvature , ricci flat manifold , soliton , pure mathematics , mathematical physics , mathematical analysis , scalar curvature , topology (electrical circuits) , sectional curvature , physics , combinatorics , geometry , quantum mechanics , nonlinear system , economics , geodesic , engineering , mechanical engineering , operations management
In this paper, we study ?-Ricci solitons on N(k)-contact metric manifolds. At first we consider ?-Ricci solitons on N(k)-contact metric manifolds with harmonic curvature tensor. Then we study ?-Ricci solitons onN(k)-contact metric manifolds with harmonic Weyl tensor. Moreover, we consider ?-Ricci soliton on N(k)-contact metric manifolds with ?-parallel Ricci tensor. Also ?-Ricci soliton on N(k)-contact metric manifolds satisfying some curvature restrictions under projective curvature tensor have been considered. Finally, the existence of an ?-Ricci soliton on a 3-dimensional N(k)-contact metric manifold is ensured by a proper example.