Poisson cohomology and canonical homology of Poisson manifolds
In this paper we present recent results concerning the Lichnerowicz-Poisson cohomology and the canonical homology of Poisson manifolds.
Poisson structures on Weil bundles.
Polynomial diffeomorphisms of C2. IV: The measure of maximal entropy and laminar currents.
Pontryagin Forms for Manifolds with Framed Singular Strata.
Positive quadratic differential forms : linearization, finite determinacy and versal unfolding
Presymplectic lagrangian systems. I : the constraint algorithm and the equivalence theorem
Principal prolongations and geometries modeled on homogeneous spaces.
Principal prolongations and geometries modeled on homogeneous spaces
We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated.
Principe de Dirichlet pour les formes différentielles
Problèmes de modules pour les formes différentielles singulières dans le plan complexe.
Problèmes mixtes pour le système de Maxwell
Produced representations of Lie algebras and superfields
Product preserving bundle functors on fibered fibered manifolds
We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ℳ f of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural transformations...
Product preserving bundle functors on fibered manifolds.
Product preserving bundle functors on fibered manifolds
The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
Product preserving bundle functors on multifibered and multifoliate manifolds.
Product preserving bundles on foliated manifolds
We present a complete description of all product preserving bundle functors on the category ℱol of all foliated manifolds and their leaf respecting maps in terms of homomorphisms of Weil algebras.
Product preserving gauge bundle functors on all principal bundle homomorphisms
Let 𝓟𝓑 be the category of principal bundles and principal bundle homomorphisms. We describe completely the product preserving gauge bundle functors (ppgb-functors) on 𝓟𝓑 and their natural transformations in terms of the so-called admissible triples and their morphisms. Then we deduce that any ppgb-functor on 𝓟𝓑 admits a prolongation of principal connections to general ones. We also prove a "reduction" theorem for prolongations of principal connections into principal ones by means of Weil functors....
Product preserving gauge bundle functors on vector bundles
A complete description is given of all product preserving gauge bundle functors F on vector bundles in terms of pairs (A,V) consisting of a Weil algebra A and an A-module V with . Some applications of this result are presented.
Projective limits of Banach vector bundles.