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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
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.
- [1]
Michael
G. Eastwood, Roger
Penrose, and R.
O. Wells Jr., Cohomology and massless fields, Comm. Math.
Phys. 78 (1980/81), no. 3, 305–351. MR 603497
(83d:81052)
- [2]
L. Hörmander, An introduction of complex analysis in several variables, North-Holland, Amsterdam and London, 1973.
- [3]
André
Weil, Sur les théorèmes de de Rham, Comment.
Math. Helv. 26 (1952), 119–145 (French). MR 0050280
(14,307b)
- [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:
http://dx.doi.org/10.1090/S0002-9939-1983-0681850-3
PII:
S 0002-9939(1983)0681850-3
Article copyright:
© Copyright 1983 American Mathematical Society
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