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On the Relative De Rham Sequence
Proceedings of the American Mathematical Society
Vol. 87, No. 2 (Feb., 1983), pp. 363-366
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2043718
Page Count: 4
You can always find the topics here!Topics: Mathematical manifolds, Differential equations, Mathematical sequences, Differential topology, Isomorphism, Frechet topologies
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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.
Proceedings of the American Mathematical Society © 1983 American Mathematical Society