Finite order formulation of Vinogradov's C-spectral sequence

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dc.creatorVitolo, R.
dc.date2001-11-13
dc.date.accessioned2026-07-07T04:44:35Z
dc.date.available2026-07-07T04:44:35Z
dc.descriptionThe C-spectral sequence was introduced by Vinogradov in the late Seventies as a fundamental tool for the study of algebro-geometric properties of jet spaces and differential equations. A spectral sequence arise from the contact filtration of the modules of forms on jet spaces of a fibring (or on a differential equation). In order to avoid serious technical difficulties, the order of the jet space is not fixed, i. e., computations are performed on spaces containing forms on jet spaces of any order. In this paper we show that there exists a formulation of Vinogradov's C-spectral sequence in the case of finite order jet spaces of a fibred manifold. We compute all cohomology groups of the finite order C-spectral sequence. We obtain a finite order variational sequence which is shown to be naturally isomorphic with Krupka's finite order variational sequence.
dc.descriptionLaTeX2e, amslatex, diagrams, hyperref; 23 p. To appear in Acta Applicandae Mathematicae
dc.identifierhttps://arxiv.org/abs/math/0111161
dc.identifierhttp://arxiv.org/abs/math/0111161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62646
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject58A12, 58A20, 58E99, 58J10
dc.titleFinite order formulation of Vinogradov's C-spectral sequence
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