Open AccessOn Three Dimensional Cosymplectic Manifolds Admitting Almost Ricci Solitons
Author(s) -
Uday Chand De,
Chiranjib Dey
Publication year - 2020
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.51.2020.3077
Subject(s) - mathematics , manifold (fluid mechanics) , soliton , lambda , function (biology) , ricci flow , pure mathematics , mathematical analysis , ricci curvature , mathematical physics , topology (electrical circuits) , combinatorics , physics , geometry , nonlinear system , quantum mechanics , mechanical engineering , curvature , evolutionary biology , engineering , biology
In the present paper we study three dimensional cosymplectic manifolds admitting almost Ricci solitons. Among others we prove that in a three dimensional compact orientable cosymplectic manifold M^3 withoutboundary an almost Ricci soliton reduces to Ricci soliton under certain restriction on the potential function lambda. As a consequence we obtain several corollaries. Moreover we study gradient almost Ricci solitons.