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Jaime Pedregal

Publications and source records attributed to Jaime Pedregal.

2 recordsLinked to original sources
arXiv2025

Flat Generalized Connections on Courant Algebroids

We consider a family of metric generalized connections on transitive Courant algebroids, which includes the canonical Levi-Civita connection, and study the flatness condition. We find that the building blocks for such flat transitive Courant algebroids are compact simple Lie groups. Further, we give a description of left-invariant flat Levi-Civita generalized connections on such Lie groups, which, in particular, shows the existence of non-flat ones.

math.DG↗
arXiv2024

On the Equivalence of Generalized Ricci Curvatures

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.

math.DG↗