The Topological-Euclidean Space Form Problem.
The Variation of Isotropy Subalgebras for Analytic Transformation Goups.
Théorie de jauge et symétries des fibrés
Soit un -fibré principal différentiable sur une variété ( un groupe de Lie compact). Étant donné une action d’un groupe de Lie compact sur , on se pose la question de savoir si elle provient d’une action sur le fibré . L’originalité de ce travail est de relier ce problème à l’existence de points fixes pour les actions de que l’on induit naturellement sur divers espaces de modules de -connexions sur .
Topological classification of multiaxial -actions (with an appendix by Jared Bass)
This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present topological...
Topological conjugacy of locally free actions on -manifolds
For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal bundle over with orbits.
Topological conjugation classes of tightly transitive subgroups of Homeo₊(ℝ)
Let ℝ be the real line and let Homeo₊(ℝ) be the orientation preserving homeomorphism group of ℝ. Then a subgroup G of Homeo₊(ℝ) is called tightly transitive if there is some point x ∈ X such that the orbit Gx is dense in X and no subgroups H of G with |G:H| = ∞ have this property. In this paper, for each integer n > 1, we determine all the topological conjugation classes of tightly transitive subgroups G of Homeo₊(ℝ) which are isomorphic to ℤⁿ and have countably many nontransitive points.
Topological transitivity of solvable group actions on the line ℝ
Let ϕ:G → Homeo₊(ℝ) be an orientation preserving action of a discrete solvable group G on ℝ. In this paper, the topological transitivity of ϕ is investigated. In particular, the relations between the dynamical complexity of G and the algebraic structure of G are considered.
Topologie de Gromov équivariante, structures hyperboliques et arbres réels.
Topologie et traces sur les -algèbres
Topologisch quasinormale Untegruppen zusammenhängender lokalkompakter Gruppen.
Torsion in equivariant cohomology.
Torus Actions on Homotopy Complex Projective Spaces.
Total spaces of circle bundles over lens spaces
Transformation Groups on Cohomology Product of Spheres.
Transformation Groups on Homogeneous-Rational Manifolds.
Transformationsgruppen mit affinen Bahnen.
Transitions from relative equilibria to relative periodic orbits.
Transitive actions on Hopf homogeneous spaces.
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.