Parametric homotopy principle of some partial differential relations
Partial compactness for the 2-D Landau-Lifshitz flow.
Partial differential analogs of ordinary differential equations and systems.
Petites valeurs propres et classe d’Euler des fibrés
Pierrot's theorem for singular Riemannian foliations.
Let F be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined by the closures of leaves of F and which, in each stratum, is transverse to these closures of leaves.
Poincaré-Cartan forms in higher order variational calculus on fibred manifolds.
The aim of the present work is to present a geometric formulation of higher order variational problems on arbitrary fibred manifolds. The problems of Engineering and Mathematical Physics whose natural formulation requires the use of second order differential invariants are classic, but it has been the recent advances in the theory of integrable non-linear partial differential equations and the consideration in Geometry of invariants of increasingly higher orders that has highlighted the interest...
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.