On the Equivalence of Generalized Ricci Curvatures
Differential Geometry
2025-05-14 v3 High Energy Physics - Theory
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2406.06695,
title = {On the Equivalence of Generalized Ricci Curvatures},
author = {Gil R. Cavalcanti and Jaime Pedregal and Roberto Rubio},
journal= {arXiv preprint arXiv:2406.06695},
year = {2025}
}
Comments
10 pages, to appear in Proc. Amer. Math. Soc