1 citations · 2 across the 7 of their papers we have counts for
20 papers
Cotangent bundle reduction
Juan-Pablo Ortega, Tudor S. Ratiu
This encyclopedia article briefly reviews without proofs some of the main results in cotangent bundle reduction. The article recalls most the necessary prerequisites to understand…
Poisson reduction
Juan-Pablo Ortega, Tudor S. Ratiu
This encyclopedia article briefly reviews without proofs some of the main results in Poisson reduction. The article recalls most the necessary prerequisites to understand the main…
Symmetry and symplectic reduction
Juan-Pablo Ortega, Tudor S. Ratiu
This encyclopedia article briefly reviews without proofs some of the main results in symplectic reduction. The article recalls most the necessary prerequisites to understand the ma…
The Lie-Poisson structure of the LAE- equation
François Gay-Balmaz, Tudor S. Ratiu
This paper shows that the time map of the averaged Euler equations, with Dirichlet, Neumann, and mixed boundary conditions is canonical relative to a Lie-Poisson bracket constr…
Symplectic leaves in real Banach Lie-Poisson spaces
Daniel Beltiţă, Tudor S. Ratiu
We present several large classes of real Banach Lie-Poisson spaces whose characteristic distributions are integrable, the integral manifolds being symplectic leaves just as in fini…
Extensions of Banach Lie-Poisson spaces
Anatol Odzijewicz, Tudor Ratiu
The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W*-algebras is given particular attention.…