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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Invariants of Pfaffian systems


Author: Robert B. Gardner
Journal: Trans. Amer. Math. Soc. 126 (1967), 514-533
MSC: Primary 53.45
MathSciNet review: 0211352
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  • [2] -, Sur l'integration de certains systemes de Pfaff de caractere deux, Oeuvres Completes, Gauthier-Villars, Paris, 1953, pp. 483-502.
  • [3] -, Les systemes de Pfaff a cinq variables, Oeuvres Completes, Gauthier-Villars, Paris, 1953, pp. 927-1010.
  • [4] -, Sur l'equivalence absolue de certains systemes d'equations differentielles, Oeuvres Completes, Gauthier-Villars, Paris, 1953, pp. 1133-1141.
  • [5] -, Les systemes differentiels exterieurs et leurs applications geometriques, Hermann, Paris, 1945.
  • [6] Claude C. Chevalley, The algebraic theory of spinors, Columbia University Press, New York, 1954. MR 0060497 (15,678d)
  • [7] Donald C. Dearborn, Inequalities among the invariants of pfaffian systems, Duke Math. J. 2 (1936), no. 4, 705–711. MR 1545962, http://dx.doi.org/10.1215/S0012-7094-36-00262-4
  • [8] E. Goursat, Leçons sur le probleme de Pfaff, Hermann, Paris, 1962.
  • [9] H. Levine, Singularities of differentiable mappings, Mathematischen Institut der Universitat Bonn, 1959.
  • [10] Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578 (33 #1797)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1967-0211352-5
PII: S 0002-9947(1967)0211352-5
Article copyright: © Copyright 1967 American Mathematical Society