Open AccessOn three-dimensional (m,ρ)-quasi-Einstein N(k)-contact metric manifold
Author(s) -
Avijit Sarkar,
Uday Chand De,
Gour Gopal Biswas
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/fil2108801s
Subject(s) - einstein , manifold (fluid mechanics) , mathematics , metric (unit) , einstein manifold , constant (computer programming) , pseudo riemannian manifold , curvature , mathematical physics , pure mathematics , mathematical analysis , ricci curvature , geometry , computer science , mechanical engineering , operations management , engineering , economics , programming language
(m,?)-quasi-Einstein N(k)-contact metric manifolds have been studied and it is established that if such a manifold is a (m,?)-quasi-Einstein manifold, then the manifold is a manifold of constant sectional curvature k. Further analysis has been done for gradient Einstein soliton, in particular. Obtained results are supported by an illustrative example.