Conformal η-Ricci Solitons in δ-Lorentzian Trans Sasakian Manifolds

Abstract

The object of the present paper is to study the δ-Lorentzian Trans Sasakian manifolds admitting the conformal η-Ricci Solitons and gradient conformal Ricci soliton. It is shown that a symmetric second order covariant tensor in a δ-Lorentzian Trans Sasakian manifold is a constant multiple of metric tensor. Also an example of conformal η-Ricci soliton in 3-dimensional δ-Lorentzian Trans Sasakian manifold is provided in the region where δ-Lorentzian Trans Sasakian manifold expanding.