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MR924805 (89f:58037) 58E10 (49B05)
Bryant, Robert L. On notions of equivalence of variational problems with one independent variable. Differential geometry: the interface between pure and applied mathematics (San Antonio, Tex., 1986), 65–76, Contemp. Math., 68, Amer. Math. Soc., Providence, RI, 1987.
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