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Formes de contact ayant le même champ de Reeb

Aggoun, Saad (2011)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 37J55, 53D10, 53D17, 53D35.In this paper, we study contact forms on a 3-manifold having a common Reeb vector field R. The main result is that when the contact forms induce the same orientation, they are diffeomorphic.

Formes de Pfaff à singularités non dégénérées

Edward Wagneur (1978)

Annales de l'institut Fourier

On étudie en dimension n 3 , la C 1 -stabilité locale et globale (sur une variété compacte), ainsi que l’existence d’intégrales premières, d’une forme de Pfaff complètement intégrable à singularités non dégénérées ( C ) .

Fourier diffraction theorem for the tensor fields

Alexander Leonidovich Balandin (2023)

Applications of Mathematics

The paper is devoted to the electromagnetic inverse scattering problem for a dielectric anisotropic and magnetically isotropic media. The properties of an anisotropic medium with respect to electromagnetic waves are defined by the tensors, which give the relation between the inductions and the fields. The tensor Fourier diffraction theorem derived in the paper can be considered a useful tool for studying tensor fields in inverse problems of electromagnetic scattering. The method is based on the...

Fourier expansion along geodesics on Riemann surfaces

Anton Deitmar (2014)

Open Mathematics

For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are classified. A refined growth estimate for the coefficients is given and a summation formula is proved.

Fractal representation of the attractive lamination of an automorphism of the free group

Pierre Arnoux, Valérie Berthé, Arnaud Hilion, Anne Siegel (2006)

Annales de l’institut Fourier

In this paper, we extend to automorphisms of free groups some results and constructions that classically hold for morphisms of the free monoid, i.e., the so-called substitutions. A geometric representation of the attractive lamination of a class of automorphisms of the free group (irreducible with irreducible powers (iwip) automorphisms) is given in the case where the dilation coefficient of the automorphism is a unit Pisot number. The shift map associated with the attractive symbolic lamination...

Fractions continues hermitiennes et billard hyperbolique

Pierrick Meignen (1998)

Journal de théorie des nombres de Bordeaux

Nous proposons de formaliser une méthode d’approximation diophantienne dans en considérant l’action de P G L 2 ( ) sur le demi-plan complexe. On retrouvera le thème classique de la connexion entre développement en fractions continues et flots géodésiques modélisé ici par un billard hyperbolique.

Currently displaying 1621 – 1640 of 4762