1Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T. Campus Badshahithaul, Tehri Garhwal-249199, Uttarakhand, India
2Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T. Campus Badshahithaul, Tehri Garhwal-249199, Uttarakhand, India
*E-mail: usnegi7@gmail.com
**vinitchoudhary27500@gmail.com
Online published on 29 January, 2026.
Ahsan (2005) investigated the geometrical symmetries of spacetime within the framework of General Relativity. Negi and Sulochana (2021) introduced and computed the conformal symmetric tensor for Kaehlerian manifolds. More recently, Negi and Preeti Chauhan (2022) developed the framework for Kaehlerian Weyl-conformal and Weyl-conharmonic recurrent curvature manifolds. Building on these contributions, the present study examines the presence of conformal Killing vector (CKV) fields in space time manifolds that satisfy the Einstein field equations (EnFEs) with a cosmological constant, under the condition of a vanishing conharmonic curvature tensor (CCT). Furthermore, cosmological models of perfect fluids with vanishing conformal curvature tensor (CCT) are also considered.
Conformal Curvature Tensor, Conharmonic Curvature Tensor, Einstein Equations, Kaehlerian manifolds, And Spacetime manifolds