Normal forms for Dirac–Jacobi bundles and splitting theorems for Jacobi structures

Abstract: The aim of this paper is to prove a normal form Theorem for Dirac–Jacobi bundles using a recent techniques of 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 another application we provide an alternative proof of the splitting theorem of homogeneous Poisson structures

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch
Notes
Mathematische Zeitschrift. - 303, 3 (2023) , 74, ISSN: 1432-1823

Event
Veröffentlichung
(where)
Freiburg
(who)
Universität
(when)
2023
Creator

DOI
10.1007/s00209-023-03222-9
URN
urn:nbn:de:bsz:25-freidok-2343404
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:57 AM CEST

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Associated

Time of origin

  • 2023

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