Legendre transformations of curves
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- by Shlomo Sternberg
- Proc. Amer. Math. Soc. 5 (1954), 942-945
- DOI: https://doi.org/10.1090/S0002-9939-1954-0066704-X
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References
- Aurel Wintner, On the infinitesimal geometry of curves, Amer. J. Math. 75 (1953), 241–259. MR 54302, DOI 10.2307/2372452
- E. Kamke, Über die Clairautsche Differentialgleichung, Math. Z. 27 (1928), no. 1, 623–639 (German). MR 1544929, DOI 10.1007/BF01171118
- Philip Hartman and Aurel Wintner, On pieces of convex surfaces, Amer. J. Math. 75 (1953), 477–487. MR 56948, DOI 10.2307/2372497
- Philip Hartman and Aurel Wintner, On continuous area-preserving and Legendre transformations, Amer. J. Math. 76 (1954), 87–96. MR 58694, DOI 10.2307/2372401
- W. Fenchel, On conjugate convex functions, Canad. J. Math. 1 (1949), 73–77. MR 28365, DOI 10.4153/cjm-1949-007-x
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 942-945
- MSC: Primary 53.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0066704-X
- MathSciNet review: 0066704