Some geometric and physical properties of pseudo m*-projective symmetric manifolds

In this study we introduce a new tensor in semi-Riemannian manifold, named the M*-projective curvature which generalizes m-projective tensor. We start by deducing some fundamental geometric properties of After that, pseudo symmetric manifolds (PM?S)n. A non-trivial example has been used to show existence such manifold. series interesting conclusions. establish, among other things, that if scalar ? is non-zero, associated 1-form closed for (PM?S)n with divM* = 0. also deal spacetimes, M*-projectively flat perfect fluid and viscous spacetimes. As result, establish significant theorems.