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On the relative de Rham sequence

N. Buchdahl
1983 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-1983-0681850-3 fatcat:p467zu3mlncv7ixsog4y4erddm