η-Ricci solitons on N(k)-contact metric manifolds | Zendy

Avijit Sarkar | Zendy; Arpan Sardar | Zendy

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η-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.

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