Add to ORKGWe explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show how prolongations, integrability and linearisations of PDEs generalise to this setting
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
The main goal of this book is to present the theory of systems of partial differential equations and...
summary:We study the prolongation of semibasic projectable tangent valued $k$-forms on fibered manif...
Abstract. In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To...
Abstract. First–order jet bundles can be put at the foundations of the mod-ern geometric approach to...
Abstract. Let C be a smooth curve in P2 given by an equation F = 0 of degree d. In this paper we con...
AbstractLet C be a smooth curve in P2 given by an equation F=0 of degree d. In this paper we conside...
AbstractCanonical twistor fibrations lead to Pfaffian systems by means of their superhorizontal dist...
summary:First we deduce some general properties of product preserving bundle functors on the categor...
The affine structure of jets of sections of a fibred manifold is reviewed. Intrinsic and coordinate ...
Nonlinear partial differential equations are defined as fibred submanifolds of a jet bundle. The def...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
Abstract. Following some of Lie’s ideas, we define between jet spaces canoni-cal correspondences whi...
We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more g...
AbstractWe study the equation Efc of flat connections in a given fiber bundle and discover a specifi...
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
The main goal of this book is to present the theory of systems of partial differential equations and...
summary:We study the prolongation of semibasic projectable tangent valued $k$-forms on fibered manif...
Abstract. In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To...
Abstract. First–order jet bundles can be put at the foundations of the mod-ern geometric approach to...
Abstract. Let C be a smooth curve in P2 given by an equation F = 0 of degree d. In this paper we con...
AbstractLet C be a smooth curve in P2 given by an equation F=0 of degree d. In this paper we conside...
AbstractCanonical twistor fibrations lead to Pfaffian systems by means of their superhorizontal dist...
summary:First we deduce some general properties of product preserving bundle functors on the categor...
The affine structure of jets of sections of a fibred manifold is reviewed. Intrinsic and coordinate ...
Nonlinear partial differential equations are defined as fibred submanifolds of a jet bundle. The def...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
Abstract. Following some of Lie’s ideas, we define between jet spaces canoni-cal correspondences whi...
We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more g...
AbstractWe study the equation Efc of flat connections in a given fiber bundle and discover a specifi...
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
The main goal of this book is to present the theory of systems of partial differential equations and...
summary:We study the prolongation of semibasic projectable tangent valued $k$-forms on fibered manif...