IJPAM: Volume 87, No. 3 (2013)
Department of Mathematics
Central College Campus
Bengaluru, 560 001, Karnataka, INDIA
Abstract. The object of present paper is to study 3-dimensional -trans-Sasakian manifold admitting Ricci solitons and -torse forming vector fields. We prove the conditions for the Ricci solitons to be shrinking, expanding and steady. Further, we have obtained a condition for the vector field in a generalized recurrent 3-dimensional -trans-Sasakian manifold to be co-symplectic. We have also shown that such a manifold is of constant scalar curvature.
Received: April 13, 2013
AMS Subject Classification: 53D10, 53D15
Key Words and Phrases: ( )trans-Sasakian manifold, Ricci soliton, shrinking, steady, expanding, K-torseforming vector field
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DOI: 10.12732/ijpam.v87i3.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395