Generalized polarized manifolds.
Generalized symmetries of massless free fields on Minkowski space.
Generalized Whittaker's equations for holonomic mechanical systems.
Generators for quasi-free completely positive semi-groups
Generic Nekhoroshev theory without small divisors
In this article, we present a new approach of Nekhoroshev’s theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. Lochak, it combines averaging along periodic orbits with simultaneous Diophantine approximation and uses geometric arguments designed by the second author to handle generic integrable Hamiltonians. This method allows to deal with generic non-analytic Hamiltonians and to obtain new results of...
Generic properties of classical n-body systems, in one dimension, and crystal theory
Geodesics in the compactly supported Hamiltonian diffeomorphism group.
Geodesics on quadrics and a mechanical problem of C. Neumann.
Geodetické, asymptotické a hlavní křivky plochy z hlediska mechaniky hmotného bodu
Geometric mechanics on nonholonomic submanifolds
In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where the constraint manifold is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior differential system on the constraint manifold. The approach admits to apply coordinate independent methods, and is not limited to Lagrangian systems under linear constraints. The new methods apply to general (possibly nonconservative) mechanical systems subject...
Geometric quantization of the MIC-Kepler problem via extension of the phase space
Geometric structures associated with certain dynamical systems. (Structures géométriques associées à certains systèmes dynamiques.)
Geometric study of a family of integrable systems. (Étude géométrique d'une famille de systémes intégrables.)
Geometrical Aspects of the Circular Billiard Problem.
Geometrical aspects of the covariant dynamics of higher order
We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.
Geometrical aspects of the Landau-Hall problem on the hiperbolic plane.
Se discuten algunos aspectos del problema de Landau-Hall hiperbólico. El álgebra de Lie de las simetrías infinitesimales de este problema se da explícitamente, resultando ser isomorfa a so(2,1) y que sus invariantes Noether asociados son los momentos angulares hiperbólicos. Asimismo se desarrolla la formulación hamiltoniana, lo que nos permitirá obtener la variedad de órbitas de energía constante de este problema mediante técnicas de reducción simpléctica.
Géométrie des équations différentielles du second ordre
Geometrische Synthese der Bewegung bei gegebener Polkonfiguration
Geometrische Untersuchung über die Bewegung eines starren Körpers. Von Carl Neumann in Leipzig
Geometry of invariant tori of certain integrable systems with symmetry and an application to a nonholonomic system.