This paper is a review of recent and classical results on integrable geodesic flows on Riemannian manifolds and topological obstructions to integrability. We also discuss some open problems. Contents
We show that the geodesic flows of a sub-Riemannian metric and that of a Riemannian extension commut...
31 pages, no figureInternational audienceWe generalize, to some extent, the results on integrable ge...
International audienceIn this paper, we define and study sub-Riemannian structures on Banach manifol...
We construct Riemannian manifolds with completely integrable geodesic flows, in particular various n...
AbstractWe construct Riemannian manifolds with completely integrable geodesic flows, in particular v...
For any toric automorphism A element of SL(n, Z) with only real eigenvalues a Riemannian metric with...
A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodes...
This article is dedicated to my daughter Rebeka Abstract. Various researchers have studied examples ...
International audienceWe give a natural definition of geodesics on a Riemannian supermanifold (M, g)...
We discuss the possible relation between geodesic flow, integrability, and supersymmetry, using ferm...
This paper is a review of recent results on integrable nonholonomic geodesic flows of left–invariant...
AbstractIn this paper, the author proves directly the equivalence between geodesic equations on a Ri...
On the path space over a compact Riemannian manifold, the global existence and the global uniqueness...
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orb...
Dette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.We exhi...
We show that the geodesic flows of a sub-Riemannian metric and that of a Riemannian extension commut...
31 pages, no figureInternational audienceWe generalize, to some extent, the results on integrable ge...
International audienceIn this paper, we define and study sub-Riemannian structures on Banach manifol...
We construct Riemannian manifolds with completely integrable geodesic flows, in particular various n...
AbstractWe construct Riemannian manifolds with completely integrable geodesic flows, in particular v...
For any toric automorphism A element of SL(n, Z) with only real eigenvalues a Riemannian metric with...
A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodes...
This article is dedicated to my daughter Rebeka Abstract. Various researchers have studied examples ...
International audienceWe give a natural definition of geodesics on a Riemannian supermanifold (M, g)...
We discuss the possible relation between geodesic flow, integrability, and supersymmetry, using ferm...
This paper is a review of recent results on integrable nonholonomic geodesic flows of left–invariant...
AbstractIn this paper, the author proves directly the equivalence between geodesic equations on a Ri...
On the path space over a compact Riemannian manifold, the global existence and the global uniqueness...
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orb...
Dette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.We exhi...
We show that the geodesic flows of a sub-Riemannian metric and that of a Riemannian extension commut...
31 pages, no figureInternational audienceWe generalize, to some extent, the results on integrable ge...
International audienceIn this paper, we define and study sub-Riemannian structures on Banach manifol...
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