Authors: A. M. Vinogradov and L. Vitagliano
For the multiple differential algebra of iterated differential forms
on a diffiety (O,C)
an analogue of C-spectral sequence
is constructed. The first term of it is naturally
interpreted as the algebra of secondary iterated
differential forms on (O,C). This allows to develop
secondary tensor analysis on generic diffieties, some simplest elements
of which are sketched here. The presented here general theory will be specified
to infinite jet spaces and infinitely prolonged PDEs in subsequent notes.
To appear in Doklady Akademii Nauk (Doklady Mathematics). See also arXiv: math.DG/0610917.
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