Invariants of Pfaffian systems
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- by Robert B. Gardner PDF
- Trans. Amer. Math. Soc. 126 (1967), 514-533 Request permission
References
- Elie Cartan, Œuvres complètes. Partie II. Vol. 1. Algèbre, formes différentielles, systèmes différentiels. Vol. 2. Groupes infinis, systèmes différentiels, théories d’équivalence, Gauthier-Villars, Paris, 1953 (French). MR 0058523 —, Sur l’integration de certains systemes de Pfaff de caractere deux, Oeuvres Completes, Gauthier-Villars, Paris, 1953, pp. 483-502. —, Les systemes de Pfaff a cinq variables, Oeuvres Completes, Gauthier-Villars, Paris, 1953, pp. 927-1010. —, Sur l’equivalence absolue de certains systemes d’equations differentielles, Oeuvres Completes, Gauthier-Villars, Paris, 1953, pp. 1133-1141. —, Les systemes differentiels exterieurs et leurs applications geometriques, Hermann, Paris, 1945.
- Claude C. Chevalley, The algebraic theory of spinors, Columbia University Press, New York, 1954. MR 0060497
- Donald C. Dearborn, Inequalities among the invariants of pfaffian systems, Duke Math. J. 2 (1936), no. 4, 705–711. MR 1545962, DOI 10.1215/S0012-7094-36-00262-4 E. Goursat, Leçons sur le probleme de Pfaff, Hermann, Paris, 1962. H. Levine, Singularities of differentiable mappings, Mathematischen Institut der Universitat Bonn, 1959.
- Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 126 (1967), 514-533
- MSC: Primary 53.45
- DOI: https://doi.org/10.1090/S0002-9947-1967-0211352-5
- MathSciNet review: 0211352