Displaying 301 – 320 of 445

Showing per page

Structure locale et globale des feuilletages de Rolle, un théorème de fibration

Frédéric Chazal (1998)

Annales de l'institut Fourier

Un feuilletage de codimension un sur une variété orientable M est de Rolle s’il vérifie la propriété suivante : une courbe transverse à coupe au plus une fois chaque feuille. Soit Q une fonction tapissante sur M , i.e. propre et possédant un nombre fini de valeurs critiques. Nous montrons que si l’ensemble des singularités de la restriction de Q aux feuilles de F vérifie certaines propriétés de finitude, alors la restriction de au complémentaire d’un nombre fini de feuilles possède une structure...

Structure of a leaf of some codimension one riemannian foliation

Krystyna Bugajska (1988)

Annales de l'institut Fourier

Some properties of the range on an open leaf of some codimension-one foliation are shown. They are different from the known properties of the distance of leaves. They imply that leaf is of fibred type over a complete Riemannian manifold with boundary, as well that there exists some vector field v on . If v is parallel then is diffeomorphic to ' × R and has non-positive curvature.

Structure of geodesics in the Cayley graph of infinite Coxeter groups

Ryszard Szwarc (2003)

Colloquium Mathematicae

Let (W,S) be a Coxeter system such that no two generators in S commute. Assume that the Cayley graph of (W,S) does not contain adjacent hexagons. Then for any two vertices x and y in the Cayley graph of W and any number k ≤ d = dist(x,y) there are at most two vertices z such that dist(x,z) = k and dist(z,y) = d - k. Allowing adjacent hexagons, but assuming that no three hexagons can be adjacent to each other, we show that the number of such intermediate vertices at a given distance from x and y...

Structures affines et projectives sur les surfaces complexes

Bruno Klingler (1998)

Annales de l'institut Fourier

Une structure complexe affine (resp. projective) sur une surface complexe est la donnée d’un atlas de cartes à valeur dans 2 (resp. P 2 ) à changements de cartes localement constants dans le groupe affine A ( 2 , ) (resp. le groupe P G L ( 3 , ) ). Dans cet article nous classifions les surfaces complexes affines et calculons, à surface complexe S fixée, l’espace de déformation des structures complexes affines sur S compatibles avec sa structure analytique. Nous montrons aussi que toute structure projective sur une surface...

Subgroups of continuous groups acting differentiably on the half-line

Joseph F. Plante (1984)

Annales de l'institut Fourier

We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.

Submanifolds of codimension two and homology equivalent manifolds

Sylvain E. Cappell, Julius L. Shaneson (1973)

Annales de l'institut Fourier

In this paper new methods of studying codimension two embeddings of manifolds are outlined. Results are stated on geometric periodicity of knot cobordism. The group of local knots of a manifold in a 2-plane bundle is introduced and computed, and applied to C o -close embeddings. General codimension two splitting theorems are discussed, with applications to equivariant knots and knot cobordism. A general existence theorem for P.L. (non-locally flat) embeddings is also given.The methods involve some...

Currently displaying 301 – 320 of 445