RICCI SOLITONS ON RICCI PSEUDOSYMMETRIC (LCS) n -MANIFOLDS

• Published in: Honam mathematical journal Vol. 40; no. 2; pp. 325 - 346
• Main Authors: Hui, Shyamal Kumar, Lemence, Richard S, Chakraborty, Debabrata
• Format: Journal Article
• Language: Korean
• Published: 호남수학회 30.06.2018
• Subjects: (LCS) n -manifold; concircular curvature tensor; conformal curvature tensor; conharmonic curvature tensor; projective curvature tensor; Ricci pseudosymmet-ric manifold; Ricci soliton; W 3 -curvature tensor; conformal curvature tensor; Ricci soliton; (LCS)_n$-manifold; concircular curvature tensor; Ricci pseudosymmetric manifold; projective curvature tensor; W_3$-curvature tensor; conharmonic curvature tensor
• ISSN: 1225-293X

The object of the present paper is to study some types of Ricci pseudosymmetric (LCS) n -manifolds whose metric is Ricci soliton. We found the conditions when Ricci soliton on concircu-lar Ricci pseudosymmetric, projective Ricci pseudosymmetric, W 3 - Ricci pseudosymmetric, conharmonic Ricci pseudosymmetric, con-formal Ricci pseudosymmetric (LCS) n -manifolds to be shrinking, steady and expanding. We also construct an example of concircu-lar Ricci pseudosymmetric (LCS) 3 -manifold whose metric is Ricci soliton.