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Characteristic cohomology of differential systems. I. General theory
Author(s):
Robert L.
Bryant;
Phillip A.
Griffiths
Journal:
J. Amer. Math. Soc.
8
(1995),
507-596.
MSC:
Primary 58H10;
Secondary 18G40, 58A15, 58A17
MathSciNet review:
1311820
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Additional information
References:
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- R. Bryant, Metrics with exceptional holonomy, Ann. of Math. (2) 126 (1987), 525-576. MR 916718 (89b:53084)
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- L. Dickey, On exactness of variational bicomplex, preprint from the Univ. of Oklahoma, 1991. MR 1188445 (94b:58035)
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- -, Calibrated geometries, Acta Math. 148 (1982), 47-157. MR 666108 (85i:53058)
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- -, Homological method of computing invariants of systems of differential equations, Preprint available from Dept. of Mathematics, Osaka Univ., 1991. MR 1109811 (92h:58184)
- [13 A]
- M. Vinogradov, The
-spectral sequence, Lagrangian formalism and conservation laws I, II, J. Math. Anal. Appl. 100 (1984), 1-129. MR 739951 (85j:58150a) - [14]
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- -, Geometry of nonlinear differential equations, J. Soviet Math. 17 (1981), 1624-1649.
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- R. Bryant and P. Griffiths, Characteristic cohomology of differential systems (II): Conservation laws for a class of parabolic systems, Duke Math. J. (to appear). MR 1334205 (96d:58158)
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Additional Information:
DOI:
10.1090/S0894-0347-1995-1311820-X
PII:
S0894-0347-1995-1311820-X
Copyright of article:
Copyright
1995,
American Mathematical Society
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