Title of article :
ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR
Author/Authors :
JAISWAL, J. P Department of Mathematics - Maulana Azad National Institute of Technology - Bhopal, India , YADAV, A. S Department of Mathematics - Maulana Azad National Institute of Technology - Bhopal, India
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 properties. First, we observe that m-projectively flat trans-Sasakian manifold is Einstein. In
order, we discussed m-projectively conservative and φ-m-projectively flat trans-Sasakian
manifold. Following, we found the sufficient condition for quasi m-projectively flat transSasakian manifold to be m-projectively flat. In the end, the m-projectively and φ-mprojectively symmetric trans-Sasakian manifolds are analyzed.
Keywords :
Trans-Sasakian manifold , m-projectively flat , Einstein manifold , m-projective conservative
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
