Jet involution and prolongations of connections
Jet manifold associated to a Weil bundle
Given a Weil algebra and a smooth manifold , we prove that the set of kernels of regular -points of , , has a differentiable manifold structure and is a principal fiber bundle.
Jet spaces as nonrigid Carnot groups.
Jets and the variational calculus
We review the approach to the calculus of variations using Ehresmann's theory of jets. We describe different types of jet manifold, different types of variational problem and different cohomological structures associated with such problems.
Jets de fonctions differentiables sur le dual d'un groupe de Lie nilpotent.
Jets in differential spaces
-Dirac operator and the Cartan-Kähler theorem
We apply the Cartan-Kähler theorem for the k-Dirac operator studied in Clifford analysis and to the parabolic version of this operator. We show that for the tableaux of the first prolongations of these two operators are involutive. This gives us a new characterization of the set of initial conditions for the 2-Dirac operator.
Kähler manifolds with split tangent bundle
This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.
Kähler-Hodge Theory for Conformal Complex Cones.
-Kohomologie und approximationen des Laplaceoperators
-cohomology of warped cylinders
We extend some results by Goldshtein, Kuzminov, and Shvedov about the -cohomology of warped cylinders to -cohomology for . As an application, we establish some sufficient conditions for the nontriviality of the -torsion of a surface of revolution.
L-когомологии искривленных цилиндров.
-когомология искривленных произведений липшицевых римановых многообразий
La caractéristiqe d'Euler du complexe de Gauss-Manin.
La méthode du repérage des systèmes de sous-variétés
La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
La trilogie du moment
A toute deux-forme fermée, sur une variété connexe, on associe une famille d’extensions centrales du groupe de ses automorphismes par son tore des périodes. On discute ensuite quelques propriétés de cette construction.
Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections
We classify all F2Mm1, m2, n1, n2-natural operators Atransforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle Lfib-fib(Y) on Y. Moreover, we classify all F2Mm1, m2, n1, n2-natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1, m2, n1, n2) into Euler...
Laplacian in general Riemannian structures
Lateral Projections of Non-Holonomic Jets