Sewn sphere cohomologies for vertex algebras
We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.
Singular foliations with Ehresmann connections and their holonomy groupoids
We introduce topological 𝒬-holonomy groupoids for singular foliations (M,ℱ) with an Ehresmann connection 𝒬 using 𝒬-holonomy groups, which have a global character. We show advantage of our groupoids over known ones.
Some aspects of the Laplace operator in negative curvature
Some characteristic invariants of foliated bundles [Book]
Some framed f -structures on transversally Finsler foliations
Some problems concerning to Liouville distribution and framed f-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f(3, ε)-structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.
Some remarks on Lie flows.
The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.
Some results about Mastrogiacomo cohomology.
Space-time distributions.
Stability of Tangential Locally Conformal Symplectic Forms
In this paper we firstly define a tangential Lichnerowicz cohomology on foliated manifolds. Next, we define tangential locally conformal symplectic forms on a foliated manifold and we formulate and prove some results concerning their stability.
Stratifications adapted to finite families of differential 1-forms (Pfaffian geometry - Part one).
A first part of a systematic presentation of Pfaffian geometry is given.
Structure des feuilletages kähleriens en courbure semi-négative
Nous étudions dans cet article quelques propriétés des feuilletages (transversalement) kähleriens sur une variété compacte lorsque la forme de Ricci transverse est « suffisamment » négative. Nous établissons plus précisément que l’algébre de Lie du pseudo-groupe d’holonomie est semi-simple. Il s’agit en fait dune version feuilletée d’un résultat dû à Nadel relatif au groupe d’automorphismes de certaines variétés complexes compactes. Ceci fournit un critére qui assure que les feuilles d’un feuilletage...
Structure of a leaf of some codimension one riemannian foliation
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 on . If is parallel then is diffeomorphic to and has non-positive curvature.
Structure of function algebras on foliated manifolds.
Sur la géométrie des sous-fibrés et des feuilletages lagrangiens
Sur la structure des variétés riemanniennes qui admettent des champs de vecteurs parallèles
Sur les feuilletages des variétés fibrées
Nous construisons un feuilletage exotique de classe sur tout fibré hyperbolique de genre . Nous montrons égalemnt des théorèmes de rigidité des feuilletages modèles sur certains fibrés pseudo-Anosov.
Sur les feuilletages géodesiques continus de variétés hyperboliques.