无限喷流空间上的迭代Differential Forms V：C-谱序列
Iterated Differential Forms V: C-Spectral Sequence on Infinite Jet Spaces
摘要：
在前面的注释math.DG/0610917中，$Λ_{k-1}\mathcal{C}$ --谱序列，其首项由\emph{secondary iterated differential forms}组成，是为一般差异构造的。本文对无限喷注空间，显式地计算了这个谱序列的零项和一项。特别地，这给出了这些空间上的次共变张量共变张量的显式描述以及与它们的一些基本运算。在这些结果的基础上，将在随后的注释中给出无限延长PDE的$Λ_{k-1}\mathcal{C}$ -谱序列的描述。
英文摘要：
In the preceding note math.DG/0610917 the $Λ_{k-1}\mathcal{C}$--spectral sequence, whose first term is composed of \emph{secondary iterated differential forms}, was constructed for a generic diffiety. In this note the zero and first terms of this spectral sequence are explicitly computed for infinite jet spaces. In particular, this gives an explicit description of secondary covariant tensors on these spaces and some basic operations with them. On the basis of these results a description of the $Λ_{k-1}\mathcal{C}$--spectral sequence for infinitely prolonged PDE's will be given in the subsequent note.
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