• Suraj Prakash Mishra
• Bhagwat Prasad
• Virendra Upadhya

Yano and Sawaki(1972) introduced quasi conformal curvature tensor in a Riemannian manifold. Recently one of the author Prasad(2002) investigated pseudo projective curvature tensor in a Riemannian manifold. In this paper we introduced a new curvature tensor named as Pseudo M ̃-projective curvature tensor on a Riemannian manifold. Some properties for PseudoM ̃-projective curvature tensor are investigated. Finally a particular case has been shown.

Conformal curvature tensor C, projective curvature tensor P, conharmonic curvature tensor H, conciracular curvature tensor V, quasi conformal curvature tensor C ̃, pseudo projective curvature tensor P ̃, quasi concircular curvature tensor V ̃, M-projective curvature tensor M, pseudo M-projective curvature M ̃ and Wi – curvature tensor (i=1, 2,----9).

"PSEUDO M ̃ -PROJECTIVE CURVATURE TENSOR ON A RIEMANNIAN MANIFOLD", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.474-479, February-2019, Available :http://www.jetir.org/papers/JETIR1902C70.pdf

"PSEUDO M ̃ -PROJECTIVE CURVATURE TENSOR ON A RIEMANNIAN MANIFOLD", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp474-479, February-2019, Available at : http://www.jetir.org/papers/JETIR1902C70.pdf