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ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS

  • De, Uday Chand (Department of Pure Mathematics Calcutta University) ;
  • De, Krishnendu (Konnagar High School(H.S.))
  • Received : 2012.01.11
  • Published : 2012.10.31

Abstract

The object of the present paper is to study 3-dimensional trans-Sasakian manifolds with conservative curvature tensor and also 3-dimensional conformally flat trans-Sasakian manifolds. Next we consider compact connected $\eta$-Einstein 3-dimensional trans-Sasakian manifolds. Finally, an example of a 3-dimensional trans-Sasakian manifold is given, which verifies our results.

Keywords

trans-Sasakian manifold;conservative curvature tensor;$\eta$-Einstein manifold

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  1. Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator vol.6, pp.11, 2018, https://doi.org/10.3390/math6110246