7 citations · 16 across the 7 of their papers we have counts for
7 papers
Differential invariants of generic parabolic Monge-Ampere equations
Diego Catalano Ferraioli, Alexandre Vinogradov
Some new results on geometry of classical parabolic Monge-Ampère equations (PMA) are presented. PMAs are either \emph{integrable}, or \emph{nonintegrable} according to integrabilit…
Iterated Differential Forms VI: Differential Equations
A. M. Vinogradov, L. Vitagliano
We describe the first term of the --spectral sequence (see math.DG/0610917) of the diffiety (E,C), E being the infinite prolongation of an l-normal system of pa…
Iterated Differential Forms IV: C-Spectral Sequence
A. M. Vinogradov, L. Vitagliano
For the multiple differential algebra of iterated differential forms (see math.DG/0605113 and math.DG/0609287) on a diffiety (O,C) an analogue of C-spectral sequence is constructed…
Iterated Differential Forms III: Integral Calculus
A. M. Vinogradov, L. Vitagliano
Basic elements of integral calculus over algebras of iterated differential forms, are presented. In particular, defining complexes for modules of integral forms are described and t…
Iterated Differential Forms II: Riemannian Geometry Revisited
A. M. Vinogradov, L. Vitagliano
A natural extension of Riemannian geometry to a much wider context is presented on the basis of the iterated differential form formalism developed in math.DG/0605113 and an applica…
Domains in Infinite Jets: C-Spectral Sequence
A. M. Vinogradov, G. Moreno
Domains in infinite jets present the simplest class of diffieties with boundary. In this note some basic elements of geometry of these domains are introduced and an analogue of the…