Ideals of finite codimension in contact Lie algebra.
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Ideals of the Lie algebras of vector fields
Grabowski, Janusz (1993)
Proceedings of the Winter School "Geometry and Topology"
Invariant measures and controllability of finite systems on compact manifolds
Philippe Jouan (2012)
ESAIM: Control, Optimisation and Calculus of Variations
A control system is said to be finite if the Lie algebra generated by its vector fields is finite dimensional. Sufficient conditions for such a system on a compact manifold to be controllable are stated in terms of its Lie algebra. The proofs make use of the equivalence theorem of [Ph. Jouan, ESAIM: COCV 16 (2010) 956–973]. and of the existence of an invariant measure on certain compact homogeneous spaces.
Invariant measures and controllability of finite systems on compact manifolds
Philippe Jouan (2012)
ESAIM: Control, Optimisation and Calculus of Variations
A control system is said to be finite if the Lie algebra generated by its vector fields is finite dimensional. Sufficient conditions for such a system on a compact manifold to be controllable are stated in terms of its Lie algebra. The proofs make use of the equivalence theorem of [Ph. Jouan, ESAIM: COCV 16 (2010) 956–973]. and of the existence of an invariant measure on certain compact homogeneous spaces.
Invariant measures and controllability of finite systems on compact manifolds
Philippe Jouan (2012)
ESAIM: Control, Optimisation and Calculus of Variations
A control system is said to be finite if the Lie algebra generated by its vector fields is finite dimensional. Sufficient conditions for such a system on a compact manifold to be controllable are stated in terms of its Lie algebra. The proofs make use of the equivalence theorem of [Ph. Jouan, ESAIM: COCV 16 (2010) 956–973]. and of the existence of an invariant measure on certain compact homogeneous spaces.
Isomorphisms and Ideals of the Lie Algebras of Vector Fields.
J. Grabowski (1978/1979)
Inventiones mathematicae
Isomorphisms of Poisson and Jacobi brackets
Janusz Grabowski (2000)
Banach Center Publications
We present a general theorem describing the isomorphisms of the local Lie algebra structures on the spaces of smooth (real-analytic or holomorphic) functions on smooth (resp. real-analytic, Stein) manifolds, as, for example, those given by Poisson or contact structures. We admit degenerate structures as well, which seems to be new in the literature.
Currently displaying 1 – 7 of 7
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