Partial bihamiltonian structures

Poisson manifolds; Poisson groupoids and algebroids (53D17) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Vector distributions (subbundles of the tangent bundles) (58A30) Infinite-dimensional manifolds (46T05)

Cites Work

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KdV Hamiltonian as a function of actions
Integrability of weak distributions on Banach manifolds
Almost Lie structures on an anchored Banach bundle
Hamel's formalism for infinite-dimensional mechanical systems
Convenient partial Poisson manifolds
Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
Perturbation theory for nullity, deficiency and other quantities of linear operators
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
Induction for weak symplectic Banach manifolds
Some geometric calculations on Wasserstein space
Deformations of Lie brackets: Cohomological aspects
Induced and coinduced Banach Lie-Poisson spaces and integrability
Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
Coisotropic calculus and Poisson groupoids
Differential calculus in locally convex spaces
Lectures on the geometry of Poisson manifolds
Banach Lie-Poisson spaces and reduction
Queer Poisson brackets
Euler equations on homogeneous spaces and Virasoro orbits
Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian
Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
Applications différentiables et variétés différentiables de dimension infinie
Symplectic manifolds and their Lagrangian submanifolds
THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
Banach Lie Algebroids
Coadjoint Orbits and the Beginnings of a Geometric Representation Theory
Action-angle Coordinates for Integrable Systems on Poisson Manifolds
On the Group of Real Analytic Diffeomorphisms of a Compact Real Analytic Manifold
The Density Manifold and Configuration Space Quantization
A simple model of the integrable Hamiltonian equation
On the Darboux theorem for weak symplectic manifolds
Invariant Poisson–Nijenhuis structures on Lie groups and classification
Some Integrable Systems on the Banach Lie—Poisson Space iR⊕u[sub res[sup 1]]
Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions
Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations
Differentiability of a Function and of its Compositions with Functions of One Variable.
Differential Calculus in Linear Topological Spaces
Spectral theory of linear operators and spectral systems in Banach algebras
Integrable system on partial isometries: a finite-dimensional picture

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