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ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS

  • Received : 2012.01.11
  • Published : 2012.10.31
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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.

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References

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