International audienceWe show that a group of diffeomorphisms D on the open unit interval I, equipped with the topology of uniform convergence on any compact set of the derivatives at any order, is non-regular: the exponential map is not defined for some path of the Lie algebra. This result extends to the group of diffeomorphisms of finite dimensional, non-compact manifold M
International audienceEach Hk inner product, endows the diffeomorphism group of the circle with a Ri...
the group of diffeomorphisms 3) of a compact «-manifold M, possibly with boundary. The group 3D has ...
12 pagesInternational audienceWe show that every effective smooth action of a Lie group G on a manif...
International audienceWe show that a group of diffeomorphisms D on the open unit interval I, equippe...
We prove that, for all α > 0, every finitely generated group of C1+α diffeomorphisms of the interva...
In this paper, we prove that on any contact manifold ( M , ξ ) there exists an arbitrar...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
AbstractWe obtain real analytic invariant manifolds for trajectories of maps assuming only the exist...
International audienceWe study the geodesic exponential maps corresponding to Sobolev type right-inv...
Abstract. It is shown that in some generic cases the identity component of the group of leaf preserv...
Let M be a compact, oriented Riemannian manifold of dimension n, possibly with smooth boundary ∂M. L...
Each Hk inner product, k ∈ N, endows the diffeomorphism group of the circle with a Riemannian struct...
Given manifolds M and N, with M compact, we study the geometrical structure of the space of embeddin...
Abstract. In this article we study Sobolev metrics of order one on diffeomorphism groups on the real...
In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We ...
International audienceEach Hk inner product, endows the diffeomorphism group of the circle with a Ri...
the group of diffeomorphisms 3) of a compact «-manifold M, possibly with boundary. The group 3D has ...
12 pagesInternational audienceWe show that every effective smooth action of a Lie group G on a manif...
International audienceWe show that a group of diffeomorphisms D on the open unit interval I, equippe...
We prove that, for all α > 0, every finitely generated group of C1+α diffeomorphisms of the interva...
In this paper, we prove that on any contact manifold ( M , ξ ) there exists an arbitrar...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
AbstractWe obtain real analytic invariant manifolds for trajectories of maps assuming only the exist...
International audienceWe study the geodesic exponential maps corresponding to Sobolev type right-inv...
Abstract. It is shown that in some generic cases the identity component of the group of leaf preserv...
Let M be a compact, oriented Riemannian manifold of dimension n, possibly with smooth boundary ∂M. L...
Each Hk inner product, k ∈ N, endows the diffeomorphism group of the circle with a Riemannian struct...
Given manifolds M and N, with M compact, we study the geometrical structure of the space of embeddin...
Abstract. In this article we study Sobolev metrics of order one on diffeomorphism groups on the real...
In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We ...
International audienceEach Hk inner product, endows the diffeomorphism group of the circle with a Ri...
the group of diffeomorphisms 3) of a compact «-manifold M, possibly with boundary. The group 3D has ...
12 pagesInternational audienceWe show that every effective smooth action of a Lie group G on a manif...
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