On the Equivalence of Generalized Ricci Curvatures

Paper by G. Cavalcanti, J. Pedregal and R. Rubio.

Abstract: We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.

Proc. Amer. Math. Soc. 153 (2025), no. 6, 2639–2648. 
Find it also on the arXiv (2406.06695).