Poisson cohomology and quantization.
Polynomial mappings of polynomial structures with simple roots
Polynomial structures on principal fibre bundles
Poznámka k symetrickej konexii na dotykovom a kodotykovom bandli
Principal bundles, groupoids, and connections
We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry.
Projectable nonlinear connections.
Projective Finsler connections. (Connections Finsler-projectives.)
Prolongation of projectable tangent valued forms
First we deduce some general properties of product preserving bundle functors on the category of fibered manifolds. Then we study the prolongation of projectable tangent valued forms with respect to these functors and describe the complete lift of the Frölicher-Nijenhuis bracket. We also present the coordinate formula for composition of semiholonomic jets.
Prolongation of second order connections to vertical Weil bundles
We study systematically the prolongation of second order connections in the sense of C. Ehresmann from a fibered manifold into its vertical bundle determined by a Weil algebra . In certain situations we deduce new properties of the prolongation of first order connections. Our original tool is a general concept of a -field for another Weil algebra and of its -prolongation.
Prolongation of tangent valued forms to Weil bundles
We prove that the so-called complete lifting of tangent valued forms from a manifold to an arbitrary Weil bundle over preserves the Frölicher-Nijenhuis bracket. We also deduce that the complete lifts of connections are torsion-free in the sense of M. Modugno and the second author.
Pseudo-Riemannian structures with the same connection.