Problemi di risolubilità di operatori differenziali invarianti sul gruppo di Heisenberg
Problemi ellittici nonlineari nella teoria di gauge di Chern-Simons
Problemi variazionali non lineari di tipo ellittico
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 functors of infinite dimensional manifolds.
Product preserving functors of infinite-dimensional manifolds
The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of -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.
Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds.
Progrès récents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue
Projections and reflections of generic surfaces in R...
Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes.
Projections of surfaces with singular boundary
Singular projections of generic 2-dim surfaces in ℝ³ with singular boundary to 2-space are studied. The case of projections of surfaces with nonsingular boundary has been treated by Bruce and Giblin. The aim of this paper is to generalise these results to the simplest singular case where the boundary of the surface consists of two transversally intersecting lines. Local models for germs of generic singular projections of corank ≤ 1 and codimension ≤ 3 are given. We also present geometrical realisations...
Projective bundles on infinite-dimensional complex spaces.
Projective connections, double fibrations and formal neighbourhoods of lines.