GENERALIZED CONFORMAL CURVATURE TENSOR OF LP-SASAKIAN MANIFOLD

Mayank Pandey; Swati Sharma; S. K. Pandey; R. N. Singh

doi:10.56827/SEAJMMS.2023.1901.20

Mayank Pandey Department of Mathematical Sciences, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
Swati Sharma Department of Mathematical Sciences, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
S. K. Pandey Department of Mathematical Sciences, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
R. N. Singh Department of Mathematical Sciences, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1901.20

Keywords: LP-Sasakian manifold, conformal curvature tensor, generalized conformal curvature tensor, Einstein manifold.

Abstract

The object of the present paper is to generalize conformal curvature tensor of LP-Sasakian manifold with the help of a new generalized (0, 2) symmetric tensor Z introduced by Mantica and Suh [7]. Various geometric properties of the generalized conformal curvature tensor of LP-Sasakian manifold have been studied. It is shown that a generalized conformally ϕ-Symmetric LP-Sasakian manifold is an η-Einstein manifold