Dirac pairs on Jacobi algebroids

2021/12/07 by Nakamura, Tomoya
#53D10 #53D17 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2112.03495

Abstract

We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on manifolds or on Jacobi algebroids.

Related

• Reduction of Jacobi manifolds via Dirac structures theory
• Weak Dual Pairs in Dirac-Jacobi Geometry
• Dirac-Jacobi Bundles
• Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid
• The Deformation L_∞ algebra of a Dirac--Jacobi structure