Displaying similar documents to “Reductive homogeneous spaces and nonassociative algebras”

On the local moduli space of locally homogeneous affine connections in plane domains

Oldřich Kowalski, Zdeněk Vlášek (2003)

Commentationes Mathematicae Universitatis Carolinae

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Classification of locally homogeneous affine connections in two dimensions is a nontrivial problem. (See [] and [] for two different versions of the solution.) Using a basic formula by B. Opozda, [], we prove that all locally homogeneous torsion-less affine connections defined in open domains of a 2-dimensional manifold depend essentially on at most 4 parameters (see Theorem 2.4).

Invariant measures and controllability of finite systems on compact manifolds

Philippe Jouan (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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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, (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

Similarity:

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, (2010) 956–973]. and of the existence of an invariant measure on certain compact homogeneous spaces.