Contact structures as Dirac structures and their associated Poisson algebras

DOI10.1134/S1995080216010042zbMath1338.53110OpenAlexW2396276621MaRDI QIDQ280858

F. Blanchet-Sadri, M. Dambrine

Publication date: 10 May 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080216010042

zbMATH Keywords

Poisson bracketsDirac structurescontact structures

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Geodesic flows in symplectic geometry and contact geometry (53D25)

Cites Work

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• On the geometric quantization of contact manifolds
• Reduction of Courant algebroids and generalized complex structures
• Categorified symplectic geometry and the classical string
• A noncommutative version of Lie algebras: Leibniz algebras
• Algèbre de Lie des automorphismes infinitesimaux d'une structure de contact
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Contact reduction
• Dirac Manifolds
• Extended symmetries and Poisson algebras associated to twisted Dirac structures
• Riemannian geometry of contact and symplectic manifolds

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