✦ LIBER ✦

On characterization of Poisson and Jacobi structures

✍ Scribed by Janusz Grabowski; Paweŀ Urbański

Book ID: 111487627
Publisher: SP Versita
Year: 2003
Tongue: English
Weight: 273 KB
Volume: 1
Category: Article
ISSN: 1895-1074
DOI: 10.2478/bf02475669

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and Jacobi structures (canonical structures) associated with Lie algebroids and Jacobi algebroids.

📜 SIMILAR VOLUMES

Prequantizable Poisson manifolds and Jac

Prequantizable Poisson manifolds and Jacobi structures

✍ Chinea, Domingo; Marrero, Juan C; León, Manuel de 📂 Article 📅 1996 🏛 Institute of Physics 🌐 English ⚖ 155 KB

New solutions of the Jacobi equations fo

New solutions of the Jacobi equations for three-dimensional Poisson structures

✍ Hernández-Bermejo, Benito 📂 Article 📅 2001 🏛 American Institute of Physics 🌐 English ⚖ 434 KB

Dirac structures and poisson reductions

Dirac structures and poisson reductions on poisson groupoids

✍ Zhong, De-Shou 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 699 KB

Jacobi Structures on Affine Bundles

✍ J. Grabowski; D. Iglesias; J. C. Marrero; E. Padrón; P. Urbański 📂 Article 📅 2006 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 336 KB

On existence of regular jacobi structure

On existence of regular jacobi structures

✍ Datta, Mahuya; Mukherjee, Sauvik 📂 Article 📅 2013 🏛 Springer 🌐 English ⚖ 194 KB

Singularities of Jacobi series on C2 and

Singularities of Jacobi series on C2 and the Poisson process equation

✍ Peter A. McCoy 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 411 KB