𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Reduction of Jacobi–Nijenhuis manifolds

✍ Scribed by J.M. Nunes da Costa; Fani Petalidou


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
116 KB
Volume
41
Category
Article
ISSN
0393-0440

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Jacobi—Nijenhuis manifolds and compatibl
✍ Juan C Marrero; Juan Monterde; Edith Padron 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 339 KB

We propose a definition of Jacobi-Nijenhuis structures, that includes the Poisson-Nijenhuis structures as a particular case. The existence of a hierarchy of compatible Jacobi structures on a Jacobi-Nijenhuis manifold is also obtained. © 1999 Acad6mie des sciences/l~ditions scientifiques et m6dicales

Local structure of Jacobi–Nijenhuis mani
✍ Fani Petalidou; J.M. Nunes da Costa 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 396 KB

After a brief review on the basic notions and the principal results concerning the Jacobi manifolds, the relationship between homogeneous Poisson manifolds and conformal Jacobi manifolds, and also the compatible Jacobi manifolds, we give a generalization of some of these results needed for the conte

Reduction of Poisson manifolds
✍ Jerrold E. Marsden; Tudor Ratiu 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 447 KB

Reduction in the category of Poisson manifolds is defined and some basic properties are derived. The context is chosen to include the usual theorems on reduction of symplectic manifolds, as well as results such as the Dirac bracket and the reduction to the Lie-Poisson bracket.