Certain results of Ricci solitons on (LCS) manifolds

Mundalamane Manjappa Praveena; Mallannara Siddalingappa Siddesha; Channabasappa Shanthappa Bagewadi

Mundalamane Manjappa Praveena Department of Mathematics, M S Ramaiah Institute of Technology Bengaluru-560054, Karnataka, India. https://orcid.org/0000-0002-5981-0687
Mallannara Siddalingappa Siddesha Jain University, Bengaluru https://orcid.org/0000-0003-2367-0544
Channabasappa Shanthappa Bagewadi Department of Mathematics, Kuvempu University, Shivamogga, Karnataka, India. https://orcid.org/0000-0002-4628-1608

Keywords: (LCS)-manifolds, Ricci soliton, Einstein manifold

Abstract

In the present paper, we study Ricci solitons of (LCS)-manifolds when quasi-conformal and pseudo projective curvature tensors of (LCS)-manifolds are irrotational and flat. It is revealed that the results obtained by the above methods and using semi-symmetry and Eisenhart problems are the same.