A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds

Tee-How LooAvik De2024-12-302024-12-302021-11-2710.1142/S0219887822500232https://dspace-cris.utar.edu.my/handle/123456789/9081 Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, [Formula: see text] structure are completely classified in this short report. A conformally flat generalized Ricci recurrent pseudo-Riemannian manifold is shown to be an Einstein manifold. In particular, a conformally flat generalized Ricci recurrent spacetime must be either a de Sitter spacetime or an anti-de Sitter spacetime. A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifoldsjournal-article