2 papers
math.SG2024
Jacobi-Koszul-Vinberg structures on Jacobi-left-symmetric algebroids
Naoki Kimura, Tomoya Nakamura
A Koszul-Vinberg manifold is a generalization of a Hessian manifold, and their relation is similar to the relation between Poisson manifolds and symplectic manifolds. Koszul-Vinber…
math.SG2023
Compatibility between Jacobi structures and pseudo-Riemannian cometrics on Jacobi algebroids
Naoki Kimura, Tomoya Nakamura
We define compatibility between Jacobi structures and pseudo-Riemannian cometrics on Jacobi algebroids. This notion is a generalization of the compatibility between Poisson structu…