Add to ORKGAbstract. We determine the Riemannian manifolds for which the group of exact volume preserving diffeomorphisms is a totally geodesic subgroup of the group of volume preserving diffeomorphisms, considering right invariant L2-metrics. The same is done for the subgroup of Hamiltonian diffeomorphisms as a subgroup of the group of symplectic diffeomorphisms in the Kähler case. These are special cases of totally geodesic subgroups of diffeomorphisms with Lie algebras big enough to detect the vanishing of a symmetric 2-tensor field. 1
The main results of this dissertation concern the structure of the group of diffeomorphisms of a smo...
We prove that a half dimensional, totally real and totally geodesic submanifold of a compact Riemann...
Dans ce travail, nous étudions différents invariants de nature algébrique et dynamique définis sur l...
Abstract. We determine the Riemannian manifolds for which the group of exact volume preserving diffe...
The geodesic motion on a Lie group equipped with a left or right invariant Riemannian metric is gov...
We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth ...
We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth ...
AbstractLet T be the collection of all Hs(s > 2) diffeomorphisms ηφ of the cylindrical surface M ≔ S...
We bring together those systems of hydrodynamical type that can be written as geodesic equations on ...
Abstract. There is a general method, applicable in many situations, whereby a pseudo–Riemannian metr...
The geodesic distance vanishes on the group of compactly supported diffeomorphisms of a Riemannian m...
We present a homogeneous space geometry for the manifold of symmetric positive semidefinite matrices...
2 Diffeomorphism groups on open manifolds 3 3 Form preserving diffeomorphisms D r ω 8 4 The geometry...
International audienceIn this paper, we define and study strong right-invariant sub-Riemannian struc...
We present a homogeneous space geometry for the manifold of symmetric positive semidefinite matrices...
The main results of this dissertation concern the structure of the group of diffeomorphisms of a smo...
We prove that a half dimensional, totally real and totally geodesic submanifold of a compact Riemann...
Dans ce travail, nous étudions différents invariants de nature algébrique et dynamique définis sur l...
Abstract. We determine the Riemannian manifolds for which the group of exact volume preserving diffe...
The geodesic motion on a Lie group equipped with a left or right invariant Riemannian metric is gov...
We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth ...
We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth ...
AbstractLet T be the collection of all Hs(s > 2) diffeomorphisms ηφ of the cylindrical surface M ≔ S...
We bring together those systems of hydrodynamical type that can be written as geodesic equations on ...
Abstract. There is a general method, applicable in many situations, whereby a pseudo–Riemannian metr...
The geodesic distance vanishes on the group of compactly supported diffeomorphisms of a Riemannian m...
We present a homogeneous space geometry for the manifold of symmetric positive semidefinite matrices...
2 Diffeomorphism groups on open manifolds 3 3 Form preserving diffeomorphisms D r ω 8 4 The geometry...
International audienceIn this paper, we define and study strong right-invariant sub-Riemannian struc...
We present a homogeneous space geometry for the manifold of symmetric positive semidefinite matrices...
The main results of this dissertation concern the structure of the group of diffeomorphisms of a smo...
We prove that a half dimensional, totally real and totally geodesic submanifold of a compact Riemann...
Dans ce travail, nous étudions différents invariants de nature algébrique et dynamique définis sur l...