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On the Relative De Rham Sequence

N. Buchdahl
Proceedings of the American Mathematical Society
Vol. 87, No. 2 (Feb., 1983), pp. 363-366
DOI: 10.2307/2043718
Stable URL: http://www.jstor.org/stable/2043718
Page Count: 4
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On the Relative De Rham Sequence
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Abstract

The classical de Rham sequence on a (smooth, paracompact) manifold provides a connection between solutions of certain differential equations and the topology of the manifold. This paper shows how the relative de Rham sequence for a mapping between manifolds gives a connection between solutions of differential equations and the topology of the fibres of the mapping.

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