Rechtsdistributive Multiplikationen auf homogenen Räumen.
Relative Invarianten und nicht-assoziative Algebren.
Rigidity of Furstenberg entropy for semisimple Lie group actions
Shadow lemma on the product of Hadamard manifolds and applications
In this paper we analyze the limit set of nonelementary subgroups acting by isometries on the product of two pinched Hadamard manifolds. Following M. Burger’s and P. Albuquerque’s works, we study the properties of Patterson-Sullivan’s measures on the limit sets of graph groups associated to convex cocompact groups.
Slices for Proper Actions of non-Compact lie groups
Smooth linearization of germs of -actions and holomorphic vector fields
The paper contains a generic condition permitting the linearization in class , , of germs of singular infinitesimal -actions on and of singular holomorphic...
Smoothly equivalent real analytic proper G-mainfolds are subanalytically equivalent.
Stability of compact actions of Rn of codimensional one.
Subgroups of continuous groups acting differentiably on the half-line
We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.
Sur les actions affines des groupes discrets
On pourrait espérer “classifier” les actions différentiables en préservant le volume des réseaux de sur les variétés compactes. On en est cependant loin. Ainsi, plusieurs auteurs ont récemment étudié les actions des réseaux de sur des variétés de dimension relativement basse, précisément, , et vérifiant en plus certaines conditions géométriques ou dynamiques. On montre alors qu’il s’agit essentiellement de l’action usuelle de sur un tore de dimension . Ici, on généralise ce fait aux actions...
Sur les feuilletages induits par l'action de groupes de Lie nilpotents
Nous étudions ici les feuilletages de codimension un induits par les actions non dégénérées de groupes nilpotents.L’existence de feuilles non compactes isolées d’un côté, implique celle d’idéaux remarquables dans l’algèbre de Lie du groupe.Dans la deuxième partie, nous montrons, dans le cas des groupes de Heisenberg des théorèmes de fibration et de cobordisme généralisant ceux obtenus par H. Rosenberg et l’auteur pour (cf. Cahiers IHES, 1974).
Symplectic convexity theorems and coadjoint orbits
The Topological Version of Groups Generated by Reflections.
The Variation of Isotropy Subalgebras for Analytic Transformation Goups.
Topologisch quasinormale Untegruppen zusammenhängender lokalkompakter Gruppen.
Transitions from relative equilibria to relative periodic orbits.
Transitive riemannian isometry groups with nilpotent radicals
Given that a connected Lie group with nilpotent radical acts transitively by isometries on a connected Riemannian manifold , the structure of the full connected isometry group of and the imbedding of in are described. In particular, if equals its derived subgroup and its Levi factors are of noncompact type, then is normal in . In the special case of a simply transitive action of on , a transitive normal subgroup of is constructed with and a sufficient condition is given...
Transversal Lie group actions on abstract CR manifolds.
Truncated Lie groups and almost Klein models
We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Über den Orbitraum Liescher Transformationsgruppen