✦ LIBER ✦

Calculus on Poisson Manifolds

✍ Scribed by Bhaskara, K. H.; Viswanath, K.

Book ID: 121706965
Publisher: Oxford University Press
Year: 1988
Tongue: English
Weight: 381 KB
Volume: 20
Category: Article
ISSN: 0024-6093
DOI: 10.1112/blms/20.1.68

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Proximal Calculus on Riemannian Manifold

Proximal Calculus on Riemannian Manifolds

✍ Daniel Azagra; Juan Ferrera 📂 Article 📅 2005 🏛 SP Birkhäuser Verlag Basel 🌐 English ⚖ 224 KB

Star calculus on Jacobi manifolds

✍ J.V. Beltran 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 158 KB

We study the Gerstenhaber bracket on differential forms induced by the two main examples of Jacobi manifolds: contact manifolds and l.c.s. manifolds. Moreover, we obtain explicit expressions of the generating operators and the derivations on the algebra of multivector fields. We define star operator

Poisson schemes for Hamiltonian systems

Poisson schemes for Hamiltonian systems on Poisson manifolds

✍ Wenjie Zhu; Mengzhao Qin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 621 KB

WZW–Poisson manifolds

✍ C. Klimčı́k; T. Strobl 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 44 KB

We observe that a term of the WZW-type can be added to the Lagrangian of the Poisson σ -model in such a way that the algebra of the first class constraints remains closed. This leads to a natural generalization of the concept of Poisson geometry. The resulting "WZW-Poisson" manifold M is characteriz

Comment on “Poisson schemes for Hamilton

Comment on “Poisson schemes for Hamiltonian systems on Poisson manifolds”

✍ R. McLachlan 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 42 KB

Recently, Zhu and Qin [1] addressed the question of numerically integrating Poisson systems with constant Poisson soructure. They concluded that among the symplectic Runge-Kutta (RK) methods, only the diagonally implicit ones are Poisson. In fact, they all are. RK methods are equivariant under linea

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.