On Three Dimensional Cosymplectic Manifolds Admitting Almost Ricci Solitons | Zendy

Uday Chand De | Zendy; Chiranjib Dey | Zendy

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On 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.

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