On integrating factors and on conformal mappings
Author:
Philip Hartman
Journal:
Trans. Amer. Math. Soc. 87 (1958), 387-406
MSC:
Primary 35.00; Secondary 53.00
DOI:
https://doi.org/10.1090/S0002-9947-1958-0095329-3
MathSciNet review:
0095329
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References | Similar Articles | Additional Information
- [1] L. Ahlfors, On quasi-conformal mappings, Journal d'Analyse Mathématique vol. 3 (1954) pp. 1-58, 207-208.
- [2] H. Cartan, Algebraic topology, Mimeographed notes, Harvard University, 1949.
- [3] E. Cartan, Leçons sur les invariants integraux, Paris, 1922.
- [4] Shiing-shen Chern, Philip Hartman, and Aurel Wintner, On isothermic coordinates, Comment. Math. Helv. 28 (1954), 301–309. MR 66718, https://doi.org/10.1007/BF02566936
- [5] G. Evans, An elliptic system corresponding to Poisson's equation, Acta Literarum ac Scientiarum (Szeged) vol. 6 (1932-1934) pp. 27-33.
- [6] Philip Hartman, On the local uniqueness of geodesics, Amer. J. Math. 72 (1950), 723–730. MR 38111, https://doi.org/10.2307/2372288
- [7] Philip Hartman and Aurel Wintner, On the fundamental equations of differential geometry, Amer. J. Math. 72 (1950), 757–774. MR 38110, https://doi.org/10.2307/2372293
- [8] Philip Hartman and Aurel Wintner, On the asymptotic curves of a surface, Amer. J. Math. 73 (1951), 149–172. MR 40739, https://doi.org/10.2307/2372167
- [9] Philip Hartman and Aurel Wintner, On the local behavior of solutions of non-parabolic partial differential equations, Amer. J. Math. 75 (1953), 449–476. MR 58082, https://doi.org/10.2307/2372496
- [10] 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, https://doi.org/10.1007/BF02849265
- [11]
M. Lavrentieff, A fundamental theorem of the theory of quasi-conformal mappings of
-dimensional regions, Bull. Acad. Sci. URSS. Ser. Math. vol. 12 (1948) pp. 513-514; Amer. Math. Soc. Translations, no. 29.
- [12] Charles B. Morrey Jr., On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43 (1938), no. 1, 126–166. MR 1501936, https://doi.org/10.1090/S0002-9947-1938-1501936-8
- [13] -, Multiple integral problems in the calculus of variations and related topics, Berkeley, 1943.
- [14] Louis Nirenberg, On nonlinear elliptic partial differential equations and Hölder continuity, Comm. Pure Appl. Math. 6 (1953), 103–156; addendum, 395. MR 64986, https://doi.org/10.1002/cpa.3160060105
- [15] Aurel Wintner, Remarks on binary Riemannian metrics, Rend. Circ. Mat. Palermo (2) 5 (1956), 59–72. MR 79307, https://doi.org/10.1007/BF02849271
- [1] Philip Hartman and Aurel Wintner, On the curvatures of a surface, Amer. J. Math. 75 (1953), 127–141. MR 52170, https://doi.org/10.2307/2372622
- [2] Philip Hartman and Aurel Wintner, On asymptotic parametrizations, Amer. J. Math. 75 (1953), 488–496. MR 57594, https://doi.org/10.2307/2372498
- [3] V. Hlavaty, Differentialgeometrie, Groningen, 1939.
- [4] Aurel Wintner, On the local role of the theory of the logarithmic potential in differential geometry, Amer. J. Math. 75 (1953), 679–690. MR 61436, https://doi.org/10.2307/2372542
- [5] Aurel Wintner, On indefinite binary Riemannian metrics, Amer. J. Math. 77 (1955), 853–867. MR 75642, https://doi.org/10.2307/2372602
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1958-0095329-3
Article copyright:
© Copyright 1958
American Mathematical Society