Domains in Infinite Jets: C-Spectral Sequence

Details Domains in Infinite Jets: C-Spectral Sequence Domains in Infinite Jets: C-Spectral Sequence

2006-09-03

arxiv.org/abs/math/0609079v1

Doklady Mathematics Volume 75, Number 2 (2007) 204-207

Mathematics

Differential Geometry

7 pages; no proofs given

Scientific paper

10.1134/S1064562407020081

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 C-spectral sequence in this context is studied. This, in particular, allows cohomological interpretation and analysis of initial data, boundary conditions, etc, for general partial differential equations and of transversality conditions in calculus of variations. This kind applications and extensions to arbitrary diffieties will be considered in subsequent publications.

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