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On the relative de Rham sequence


Author: N. Buchdahl
Journal: Proc. Amer. Math. Soc. 87 (1983), 363-366
MSC: Primary 58A10; Secondary 32L10
DOI: https://doi.org/10.1090/S0002-9939-1983-0681850-3
MathSciNet review: 681850
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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.


References [Enhancements On Off] (What's this?)

  • [1] M. G. Eastwood, R. Penrose and R. O. Wells, Jr., Cohomology and massless fields, Comm. Math. Phys. 78 (1981), 305-351. MR 603497 (83d:81052)
  • [2] L. Hörmander, An introduction of complex analysis in several variables, North-Holland, Amsterdam and London, 1973.
  • [3] A. Weil, Sur les théorèmes de de Rham, Comment. Math. Helv. 26 (1952), 119-145. MR 0050280 (14:307b)

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DOI: https://doi.org/10.1090/S0002-9939-1983-0681850-3
Article copyright: © Copyright 1983 American Mathematical Society

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