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

DOI10.1007/s00209-023-03222-9OpenAlexW2906709785WikidataQ122167121 ScholiaQ122167121MaRDI QIDQ2686991

Jonas Schnitzer

Publication date: 1 March 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00207

zbMATH Keywords

normal formsplitting theoremDirac-Jacobi bundle

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (1)

Weak dual pairs in Dirac–Jacobi geometry

Cites Work

• The normal form theorem around Poisson transversals
• Contact manifolds and generalized complex structures
• The local structure of Poisson manifolds
• Graded bundles and homogeneity structures
• Dirac-Jacobi bundles
• Omni-Lie algebroids
• Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds)
• Les variétés de Poisson et leurs algèbres de Lie associees
• On dual pairs in Dirac geometry
• Generalized contact bundles
• Deformations of coisotropic submanifolds in Jacobi manifolds
• Remarks on contact and Jacobi geometry
• Splitting theorems for Poisson and related structures
• LOCAL LIE ALGEBRAS
• Removable Presymplectic Singularities and the Local Splitting of Dirac Structures
• The Local Structure of Generalized Contact Bundles
• Conformal Dirac structures

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