EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 4 Next

Displaying 61 – 80 of 124

Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold

P. Michor (1980)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on $d i f f (S^{1})$ and $d i f f (𝐑)$

Edwin Beggs, Shahn Majid (1990)

Annales de l'I.H.P. Physique théorique

Measure preserving pseudo-groups and a theorem of Sacksteder

Joseph F. Plante (1975)

Annales de l'institut Fourier

This note is based on a theorem of Sacksteder which generalizes a classical result of Denjoy. Using this theorem and results on the existence of invariant measures, new results are obtained concerning minimal sets for groups of diffeomorphisms of the circle and for foliations of codimension one.

$n$ -transitivity of certain diffeomorphism groups.

Michor, P.W., Vizman, C. (1994)

Acta Mathematica Universitatis Comenianae. New Series

Nonuniform center bunching and the genericity of ergodicity among $C^{1}$ partially hyperbolic symplectomorphisms

Artur Avila, Jairo Bochi, Amie Wilkinson (2009)

Annales scientifiques de l'École Normale Supérieure

We introduce the notion of nonuniform center bunching for partially hyperbolic diffeomorphims, and extend previous results by Burns–Wilkinson and Avila–Santamaria–Viana. Combining this new technique with other constructions we prove that $C^{1}$ -generic partially hyperbolic symplectomorphisms are ergodic. We also construct new examples of stably ergodic partially hyperbolic diffeomorphisms.

Normal Families and the Semicontinuity of Isometry and Automorphism Groups.

R.E. Greene, Krantz, S.G. (1985)

Mathematische Zeitschrift

On commuting circle mappings and simultaneous Diophantine approximations.

Jürgen Moser (1990)

Mathematische Zeitschrift

On groups of smooth maps into a simple compact Lie group.

Pierre de de Harpe (1988)

Commentarii mathematici Helvetici

On Singularities of Smooth Maps to a Space with a Fixed Cone.

B.Z. Shapiro (1995)

Mathematica Scandinavica

On some completions of the space of hamiltonian maps

Vincent Humilière (2008)

Bulletin de la Société Mathématique de France

In one of his papers, C. Viterbo defined a distance on the set of Hamiltonian diffeomorphisms of $ℝ^{2 n}$ endowed with the standard symplectic form $ω_{0} = d p \land d q$ . We study the completions of this space for the topology induced by Viterbo’s distance and some others derived from it, we study their different inclusions and give some of their properties. In particular, we give a convergence criterion for these distances that allows us to prove that the completions contain non-ordinary elements, as for example, discontinuous...

On the first homology of automorphism groups of manifolds with geometric structures

Kōjun Abe, Kazuhiko Fukui (2005)

Open Mathematics

Hermann and Thurston proved that the group of diffeomorphisms with compact support of a smooth manifold M which are isotopic to the identity is a perfect group. We consider the case where M has a geometric structure. In this paper we shall survey on the recent results of the first homology of the diffeomorphism groups which preserve a smooth G-action or a foliated structure on M. We also work in Lipschitz category.

On the group of real analytic diffeomorphisms

Takashi Tsuboi (2009)

Annales scientifiques de l'École Normale Supérieure

The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the $n$ -dimensional torus, its identity component is a simple group. For $U (1)$ fibered manifolds, for manifolds admitting special semi-free $U (1)$ actions and for 2- or 3-dimensional manifolds with nontrivial $U (1)$ actions, we show that the identity component of the group of real analytic diffeomorphisms is a perfect group.

On the homeomorphism groups of manifolds and their universal coverings

Agnieszka Kowalik, Tomasz Rybicki (2011)

Open Mathematics

Let H c(M) stand for the path connected identity component of the group of all compactly supported homeomorphisms of a manifold M. It is shown that H c(M) is perfect and simple under mild assumptions on M. Next, conjugation-invariant norms on Hc(M) are considered and the boundedness of Hc(M) and its subgroups is investigated. Finally, the structure of the universal covering group of Hc(M) is studied.

On the homotopy type of $Diff (M^{n})$ and connected problems

Dan Burghelea (1973)

Annales de l'institut Fourier

This paper reports on some results concerning:a) The homotopy type of the group of diffeomorphisms $Diff (M^{n})$ of a differentiable compact manifold $M^{n}$ (with $C^{\infty}$ -topology).b) the result of the homotopy comparison of this space with the group of all homeomorphisms Homeo $M^{n}$ (with $C^{o}$ -topology). As a biproduct, one gets new facts about the homotopy groups of $Diff (D^{n}, \partial D^{n}), {Top}_{n}$ , ${Top}_{n} / O_{n}$ and about the number of connected components of the space of topological and combinatorial pseudoisotopies.The results are contained in Section 1 and Section...

On the Space of the Linear Homeomorphisms of a Polyhedral TV-Cell with Two Interior Vertices*.

Chung-wu Ho (1979)

Mathematische Annalen

On the uniform perfectness of groups of bundle homeomorphisms

Tomasz Rybicki (2019)

Archivum Mathematicum

Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.

Currently displaying 61 – 80 of 124