Quasi Conformal Curvature Tensor on a P-Sasakian Einstein Manifold

Abstract

In this paper, we have studied p-Sasakian Einstein manifold which satisfy the condition r-n(n-1), a + 2(n-1)b  0 i. e. the constant scalar curvature r. also the p-Sasakian Einstein manifold satisfying div = 0 have studied. where is quasi-conformal curvature tensor and r is the scalar curvature.

Normal paracontact metric space form on $W_0$-curvature tensor

“…Take an 𝑛-dimensional differentiable 𝑀 manifold. If it admits a tensor field 𝜙 of type (1,1), a contravariant vector field 𝜉 and a 1-form 𝜂 satisfying the following conditions: Tripathi and Gunam [8] described a 𝜏-curvature tensors of the (1,3) type in an 𝑛-dimensional (𝑀, 𝑔) semi-Riemann manifold. One of these tensors is defined as follows:…”