Über sphärische Blätterungen und die Vollständigkeit ihrer Blätter.
Ueber die Transformation der homogenen Differentialausdrücke zweiten Grades.
Ueber ein die Transformation homogener Differentialausdrücke zweiten Grades betreffendes Theorem.
Un invariant algébrique associé à une application continue
Un modèle de filtres pour l'analyse réelle synthétique
Un théorème de quasi-transversalité
Une algèbre graduée universelle pour les connexions sans torsion.
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 suite exacte en -cohomologie
Unfoldings of Meromorphic Functions.
Unicity of the Lie product
Uniqueness results for operators in the variational sequence
We prove that the most interesting operators in the Euler-Lagrange complex from the variational bicomplex in infinite order jet spaces are determined up to multiplicative constant by the naturality requirement, provided the fibres of fibred manifolds have sufficiently large dimension. This result clarifies several important phenomena of the variational calculus on fibred manifolds.
Universal prolongation of linear partial differential equations on filtered manifolds
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type. This leads immediately to obstructions to the existence of solutions. Moreover, we will deduce that the solution space of such equations is always finite dimensional.
Untersuchungen in Betreff der ganzen homogenen Functionen von n Differentialen.
Value problems for differential forms on -domains.
Variation du nombre de Lefschetz dans une famille d'automorphismes analytiques.
Variational integrals for elliptic complexes
We discuss variational integrals which are defined on differential forms associated with a given first order elliptic complex. This general framework provides us with better understanding of the concepts of convexity, even in the classical setting
Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents
We will pose the inverse problem question within the Krupka variational sequence framework. In particular, the interplay of inverse problems with symmetry and invariance properties will be exploited considering that the cohomology class of the variational Lie derivative of an equivalence class of forms, closed in the variational sequence, is trivial. We will focalize on the case of symmetries of globally defined field equations which are only locally variational and prove that variations of local...
Variations on the theme of twistor spaces.
Variétés de Poisson et feuilletages