Dirac pairs on Jacobi algebroids
Tomoya Nakamura
TL;DR
This paper introduces Dirac pairs on Jacobi algebroids, extending the concept from Lie algebroids, and explores their role in characterizing compatible geometric structures.
Contribution
It generalizes Dirac pairs to Jacobi algebroids and establishes their relationship with structures on manifolds and Jacobi algebroids.
Findings
Dirac pairs on Jacobi algebroids characterize compatible structures.
Relationship between Dirac pairs on Lie and Jacobi algebroids established.
Provides a framework for understanding geometric structures via Dirac pairs.
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Ophthalmology and Eye Disorders · Advanced Topics in Algebra