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Displaying 41 – 60 of 101

Fibration of the phase space for the Korteweg-de Vries equation

Thomas Kappeler (1991)

Annales de l'institut Fourier

In this article we prove that the fibration of $L^{2} (S^{1})$ by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to $N$ -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.

Fixed points of discrete nilpotent group actions on $S^{2}$

Suely Druck, Fuquan Fang, Sebastião Firmo (2002)

Annales de l’institut Fourier

We prove that for each integer $k \geq 2$ there is an open neighborhood $𝒱_{k}$ of the identity map of the 2-sphere $S^{2}$ , in $C^{1}$ topology such that: if $G$ is a nilpotent subgroup of ${Diff}^{1} (S^{2})$ with length $k$ of nilpotency, generated by elements in $𝒱_{k}$ , then the natural $G$ -action on $S^{2}$ has nonempty fixed point set. Moreover, the $G$ -action has at least two fixed points if the action has a finite nontrivial orbit.

Flots transversalement affines et tissus feuilletés

Étienne Ghys (1991)

Mémoires de la Société Mathématique de France

Formes tangentes à des actions commutatives

Dominique Cerveau, Alcides Lins Neto (1984)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices

Christian Bonatti, Xavier Gómez-Mont, Marcelo Viana (2003)

Annales de l'I.H.P. Analyse non linéaire

Geometry and dynamics of admissible metrics in measure spaces

Anatoly Vershik, Pavel Zatitskiy, Fedor Petrov (2013)

Open Mathematics

We study a wide class of metrics in a Lebesgue space, namely the class of so-called admissible metrics. We consider the cone of admissible metrics, introduce a special norm in it, prove compactness criteria, define the ɛ-entropy of a measure space with an admissible metric, etc. These notions and related results are applied to the theory of transformations with invariant measure; namely, we study the asymptotic properties of orbits in the cone of admissible metrics with respect to a given transformation...

Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.

Fernando Alcalde Cuesta (1989)

Publicacions Matemàtiques

The purpose of this paper is to prove the existence of a symplectic realization for a large class of regular Poisson manifolds with Riemannian two dimensional characteristic foliation. To do so, we will show that the homotopy groupoid of a Riemannian foliation is locally trivial.

Holomorphic foliations in $ℂ ℙ (2)$ having an invariant algebraic curve

Dominique Cerveau, Alcides Lins Neto (1991)

Annales de l'institut Fourier

We give estimations for the degree of separatrices of algebraic foliations in $CP (2)$ .

Integrable hierarchy of higher nonlinear Schrödinger type equations.

Kundu, Anjan (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Integrals for holomorphic foliations with singularities having all leaves compact

Xavier Gomez-Mont (1989)

Annales de l'institut Fourier

We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.

Involutive distributions, invariant manifolds, and defining equations.

Kaptsov, O.V. (2002)

Sibirskij Matematicheskij Zhurnal

La dynamique des pseudogroupes de rotations.

Gilbert Levitt (1993)

Inventiones mathematicae

Lemme de l'ombre et non divergence des horosphères d'une variété géométriquement finie

Barbara Schapira (2004)

Annales de l’institut Fourier

Dans cet article, nous établissons dans un premier temps un lemme de l'ombre dans le cas des variétés géométriquement finies à courbure négative variable. Ce théorème donne des estimées très précises de la décroissance de la mesure de Patterson des ombres, sur le bord à l'infini de telles variétés. Nous en déduisons un résultat de non divergence des horosphères. Plus précisément, nous considérons certaines moyennes naturelles sur de grandes boules horosphériques, dont nous...

Linear actions of free groups

Mark Pollicott, Richard Sharp (2001)

Annales de l’institut Fourier

In this paper we study dynamical properties of linear actions by free groups via the induced action on projective space. This point of view allows us to introduce techniques from Thermodynamic Formalism. In particular, we obtain estimates on the growth of orbits and their limiting distribution on projective space.

Local density of diffeomorphisms with large centralizers

Christian Bonatti, Sylvain Crovisier, Gioia M. Vago, Amie Wilkinson (2008)

Annales scientifiques de l'École Normale Supérieure

Given any compact manifold $M$ , we construct a non-empty open subset $𝒪$ of the space ${Diff}^{1} (M)$ of $C^{1}$ -diffeomorphisms and a dense subset $𝒟 \subset 𝒪$ such that the centralizer of every diffeomorphism in $𝒟$ is uncountable, hence non-trivial.

Currently displaying 41 – 60 of 101

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Displaying 41 – 60 of 101

Fibration of the phase space for the Korteweg-de Vries equation

Fixed points of discrete nilpotent group actions on $S^{2}$

Flots transversalement affines et tissus feuilletés

Formes tangentes à des actions commutatives

Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices

Geometry and dynamics of admissible metrics in measure spaces

Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.

Holomorphic foliations in $ℂ ℙ (2)$ having an invariant algebraic curve

Integrable hierarchy of higher nonlinear Schrödinger type equations.

Integrals for holomorphic foliations with singularities having all leaves compact

Involutive distributions, invariant manifolds, and defining equations.

La dynamique des pseudogroupes de rotations.

Lemme de l'ombre et non divergence des horosphères d'une variété géométriquement finie

Linear actions of free groups

Local density of diffeomorphisms with large centralizers

Local rigidity of actions of higher rank abelian groups and KAM method.

Measured foliations on nonorientable surfaces

Minimal sets of foliations on complex projective spaces

Mise en position optimale de tores par rapport à un flot d'Anosov.

Most automorphisms of a hyperbolic group have very simple dynamics

Currently displaying 41 – 60 of 101