Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures
Differential Geometry
2019-01-03 v1
Abstract
The aim of this paper is to prove a normal form Theorem for Dirac-Jacobi bundles using the recent techniques from Bursztyn, Lima and Meinrenken. As the most important consequence, we can prove the splitting theorems of Jacobi pairs which was proposed by Dazord, Lichnerowicz and Marle. As an application we provide a alternative proof of the splitting theorem of homogeneous Poisson structures.
Cite
@article{arxiv.1901.00207,
title = {Normal Forms for Dirac-Jacobi bundles and Splitting Theorems for Jacobi Structures},
author = {Jonas Schnitzer},
journal= {arXiv preprint arXiv:1901.00207},
year = {2019}
}
Comments
27 pages, comments welcome!