To the question about the maximum principle for manifolds over local algebras.
Topological Classification and Bifurcations of Holomorphic Flows with Resonances in ...2.
Topological components of spaces of representations.
Topologie de contact en dimension 3
Totally geodesic foliations.
Transitive flows on manifolds.
In this paper we characterize manifolds (topological or smooth, compact or not, with or without boundary) which admit flows having a dense orbit (such manifolds and flows are called transitive) thus fully answering some questions by Smith and Thomas. Name
Transverse G-structures on foliated mani- folds
Transverse Hausdorff dimension of codim-1 C2-foliations
The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.
Transversely affine and transversely projective holomorphic foliations
Transversely homogeneous foliations
A foliation of a manifold is transversely homogeneous if it can be defined by local submersions to a homogeneous space which on overlaps differ by translations. We explore the topology and geometry of such foliations and give a structure theorem for the case when is compact. We investigate the relationship between the structure equations of and the normal bundle of the foliation and provide a differential forms characterization of a large class of homogeneous foliations. As a special case,...
Tranverse foliations of Seifert bundles and self homeomorphism of the circle.
Travaux de Novikov sur les feuilletages
Über sphärische Blätterungen und die Vollständigkeit ihrer Blätter.
Un contre-exemple à la conjecture de Seifert
Un théorème de conjugaison des feuilletages
Dans cet article, nous classifions les feuilletages par plans de . (Deux feuilletages sont “conjugués” s’il existe un homéomorphisme qui envoie les feuilles de l’un sur les feuilles de l’autre.)Le résultat démontré est analogue à celui de Denjoy pour le tore . Les classes de conjugaison sont indexées pour l’ensemble des irrationnels.
Une caractérisation du fibré transverse.
We prove that the Lie algebra of infinitesimal automorphisms of the transverse structure on the total space of the transverse bundle of a foliation is isomorphic to the semi-direct product of the Lie algebra of the infinitesimal automorphism of the foliation by the vector space of the transverse vector fields. The derivations of this algebra are entirely determined and we prove that this Lie algebra characterises the foliated structure of a compact Hausdorff foliation.
Une observation sur les actions de ...p sur les variétés compactes de caractéristique non nulle.
Unfoldings of foliations with multiform first integrals
Let be a codim 1 local foliation generated by a germ of the form for some complex numbers and germs of holomorphic functions at the origin in . We determine, under some conditions, the set of equivalence classes of first order unfoldings and construct explicitly a universal unfolding of . Special cases of this include foliations with holomorphic or meromorphic first integrals. We also show that the unfolding theory for is equivalent to the unfolding theory for the multiform function...
Unfoldings of holomorphic foliations.
The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.
Unfoldings of Meromorphic Functions.