On exterior derivatives and solutions of ordinary differential equations
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- by Philip Hartman
- Trans. Amer. Math. Soc. 91 (1959), 277-293
- DOI: https://doi.org/10.1090/S0002-9947-1959-0109236-1
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References
- E. Cartan, Leçons sur les invariants intégraux, Paris, 1922.
C. Caratheodory, Variationsrechnung und partielle Differentialgleichungen erster Ordnung, Leipzig and Berlin, 1935.
- P. Gillis, Sur les équations linéaires aux différentielles totales, Bull. Soc. Roy. Sci. Liège 9 (1940), 197–212 (French). MR 13190
- Philip Hartman, On the local uniqueness of geodesics, Amer. J. Math. 72 (1950), 723–730. MR 38111, DOI 10.2307/2372288
- Philip Hartman, On geodesic coordinates, Amer. J. Math. 73 (1951), 949–954. MR 46087, DOI 10.2307/2372125
- Philip Hartman, On integrating factors and on conformal mappings, Trans. Amer. Math. Soc. 87 (1958), 387–406. MR 95329, DOI 10.1090/S0002-9947-1958-0095329-3
- Philip Hartman and Aurel Wintner, On the fundamental equations of differential geometry, Amer. J. Math. 72 (1950), 757–774. MR 38110, DOI 10.2307/2372293
- Philip Hartman and Aurel Wintner, On the problems of geodesics in the small, Amer. J. Math. 73 (1951), 132–148. MR 40740, DOI 10.2307/2372166
- Philip Hartman and Aurel Wintner, Regular binary Pfaffians and nonparabolic partial differential equations, Rend. Circ. Mat. Palermo (2) 3 (1954), 347–362 (1955). MR 75635, DOI 10.1007/BF02849265
- Alexandre Ostrowski, Sur un théorème fondamental de la théorie des équations linéaires aux dérivées partielles, Comment. Math. Helv. 15 (1943), 217–221 (French). MR 10032, DOI 10.1007/BF02565639 H. Weyl, Ueber die Bestimmung einer geschlossenen konvexen Fläche durch ihr Linienelement, Vierteljschr. Naturf. Ges. Zürich vol. 61 (1916) pp. 40-72.
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 91 (1959), 277-293
- MSC: Primary 34.00; Secondary 53.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0109236-1
- MathSciNet review: 0109236