Mathematical Journal of Okayama University volume66 issue1
2024-01 発行

Dirac pairs on Jacobi algebroids

Nakamura, Tomoya Academic Support Center, Kogakuin University
Publication Date
2024-01
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 Jacobi algebroids.
Keywords
Dirac pair
Dirac structure
Jacobi algebroid
Lie algebroid
Comments
Mathematics Subject Classification. Primary 53D17; Secondary 53D10.
ISSN
0030-1566
NCID
AA00723502