η-Ricci Solitons on Kenmotsu 3-Manifolds

Author:

De Krishnendu1,De Uday Chand2

Affiliation:

1. Kabi Sukanta Mahavidyalaya , Bhadreswar , India

2. Department of Pure Mathematics , University of Calcutta , India

Abstract

Abstract In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Beside these, we study φ-Ricci symmetric η-Ricci soliton on Kenmotsu 3-manifolds. Also Kenmotsu 3-manifolds satisfying the curvature condition R.R = Q(S, R)is considered. Finally, an example is constructed to prove the existence of a proper η-Ricci soliton on a Kenmotsu 3-manifold.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

1. [1] D. E. Blair, Lecture notes in Mathematics, Springer-Verlag Berlin, 509,1976

2. [2] D. E. Blair, Riemannian Geometry of contact and symplectic manifolds, Birkhäuser, Boston, 200210.1007/978-1-4757-3604-5

3. [3] A. M. Blaga, η-Ricci solitons on Lorentzian para-Sasakian manifolds, Filomat, 30, (2016), no. 2, 489-496

4. [4] A. M. Blaga, η-Ricci solitons on para-Kenmotsu manifolds, Balkan J. Geom. Appl., 20, (2015), 1-13

5. [5] C. Calin and M. Crasmareanu, From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds, Bull. Malays. Math. Soc., 33(3), (2010), 361-368

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