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$C^{k}$ -conjugacy of holomorphic flows near a singularity

Marc Chaperon (1986)

Publications Mathématiques de l'IHÉS

Characteristic classes of subfoliations

Luis A. Cordero, X. Masa (1981)

Annales de l'institut Fourier

This paper is devoted to define a characteristic homomorphism for a subfoliation $(F_{1}, F_{2})$ and to study its relation with the usual characteristic homomorphism for each foliation (as defined by Bott). Moreover, two applications are given: 1) the Yamato’s 2-codimensional foliation is shown to be no homotopic to $F_{2}$ in a (1,2)-codimensional subfoliation; 2) an obstruction to the existence of $d$ everywhere independent and transverse infinitesimal transformations of a foliation $F_{2}$ is obtained, when $F_{2}$ and these...

Characteristic classes of surface bundles.

S. Morita (1987)

Inventiones mathematicae

Characteristic homomorphism for $(F_{1}, F_{2})$ -foliated bundles over subfoliated manifolds

José Manuel Carballés (1984)

Annales de l'institut Fourier

In this paper a construction of characteristic classes for a subfoliation $(F_{1}, F_{2})$ is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of $(F_{1}, F_{2})$ -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of $F_{i}$ -foliated bundles, $i = 1, 2$ , the results of Kamber-Tondeur on the cohomology of $g$ - $D G$ -algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of a foliation...

Characteristic Invariants of Foliated Bundles.

Ph. Tondeur, Franz W. Kamber (1973/1974)

Manuscripta mathematica

Cheeger-Chern-Simons classes of transversally symmetric foliations: Dependence relations and eta-invariants.

F.W. Kamber, J.L. Dupont (1993)

Mathematische Annalen

Chord diagrams in the classification of Morse-Smale flows on 2-manifolds

Leonid Plachta (1998)

Banach Center Publications

Classes caracteristiques de ... (G, H)-Structures et Finitude de leur evaluation.

Youssef Hantout (1988)

Manuscripta mathematica

Classes caractéristiques exotiques et $ℐ$ -connexité des espaces de connexions

Daniel Lehmann (1974)

Annales de l'institut Fourier

Le but de ce travail est double : d’une part, généraliser la construction des classes exotiques pour l’appliquer à d’autres problèmes géométriques que ceux issus des $Γ$ -structures ; d’autre part, préciser, grâce à la notion de $J$ -connexité, remplaçant avantageusement les formules de dérivation utilisées précédemment, l’argument d’invariance homotopique permettant d’obtenir des théorèmes de rigidité, montrant simultanément pourquoi la seule connexité des ensembles de connexions considérés ne suffit...

Classification de feuilletages totalement géodésiques de codimension un.

Etienne Ghys (1983)

Commentarii mathematici Helvetici

Classification of riemannian flows with transverse similarity structures

Taro Asuke (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Classification topologique des germes de formes logarithmiques génériques

Emmanuel Paul (1989)

Annales de l'institut Fourier

On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de $ℂ^{n}$ , admettant une intégrale première multiforme du type $f_{1}^{\partial_{1}}, ..., f_{p}^{\partial_{p}}$ .

Close cohomologous Morse forms with compact leaves

Irina Gelbukh (2013)

Czechoslovak Mathematical Journal

We study the topology of foliations of close cohomologous Morse forms (smooth closed 1-forms with non-degenerate singularities) on a smooth closed oriented manifold. We show that if a closed form has a compact leave $γ$ , then any close cohomologous form has a compact leave close to $γ$ . Then we prove that the set of Morse forms with compactifiable foliations (foliations with no locally dense leaves) is open in a cohomology class, and the number of homologically independent compact leaves does not decrease...

Closed Leaves in Foliations of Codimension One.

Sue E. Goodman (1975)

Commentarii mathematici Helvetici

Cobordism of automorphisms of surfaces

Francis Bonahon (1983)

Annales scientifiques de l'École Normale Supérieure

Codimension one foliations on solvable manifolds.

Shigenori Matsumoto (1993)

Commentarii mathematici Helvetici

Codimension one foliations without compact leaves.

Paul S. Schweitzer (1995)

Commentarii mathematici Helvetici

Codimension one minimal foliations and the fundamental groups of leaves

Tomoo Yokoyama, Takashi Tsuboi (2008)

Annales de l’institut Fourier

Let $ℱ$ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold $M$ . We show that if the fundamental group of each leaf of $ℱ$ is isomorphic to $Z$ , then $ℱ$ is without holonomy. We also show that if $π_{2} (M) ≅ 0$ and the fundamental group of each leaf of $ℱ$ is isomorphic to $Z^{k}$ ( $k \in Z_{\geq 0}$ ), then $ℱ$ is without holonomy.

Cohomologie basique et dualité des feuilletages riemanniens

Vlad Sergiescu (1985)

Annales de l'institut Fourier

Nous démontrons des théorèmes de dualité de Poincaré et de de Rham pour la cohomologie basique et l’homologie des courants transverses invariants d’un feuilletage riemannien.

Cohomology of Lie groups made discrete.

Pere Pascual Gainza (1990)

Publicacions Matemàtiques

We give a survey of the work of Milnor, Friedlander, Mislin, Suslin and other authors on the Friedlander-Milnor conjecture on the homology of Lie groups made discrete and its relation to the algebraic K-theory of fields.

Currently displaying 1 – 20 of 37

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