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

Autor:	Avijit Sarkar, Arpan Sardar
Rok vydání:	2021
Předmět:	Nonlinear Sciences::Exactly Solvable and Integrable Systems General Mathematics Mathematics::Metric Geometry Mathematics::Differential Geometry Nonlinear Sciences::Pattern Formation and Solitons
Zdroj:	Filomat. 35:3879-3889
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil2111879s
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f019d37751eaa1835ac91972ce3762a1 https://doi.org/10.2298/fil2111879s Zobrazit plný text záznamu