ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR

J. P. JAISWAL 1, A. S. YADAV

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Abstract

The work towards of the attending paper is to interpret the trans-Sasakian manifold equipped with m-projective curvature tensor and its various geometric proper- ties. First, we observe that m-projectively at trans-Sasakian manifold is Einstein. In order, we discussed m-projectively conservative and -m-projectively at trans-Sasakian manifold. Following, we found the sucient condition for quasi m-projectively at trans- Sasakian manifold to be m-projectively at. In the end, the m-projectively and -m- projectively symmetric trans-Sasakian manifolds are analyzed.

Keywords

Trans-Sasakian manifold, m-projectively at, Einstein manifold, m-projective conservative.