References
D. R. Davis, “The Inverse Problem of the Calculus of Variations in a Space of (n+1) Dimensions,”Bull. American Math. Soc., 1929, 371–80. D. D. Kosambi,Quart. J. of Math. (Oxford), 1935,6, 9.
D. D. Kosambi,loc. cit., p. 5.
V. Seetharaman,Proc. Ind. Acad. Sci., 1937,5, No. 2.
D. D. Kosambi,Quart. J. of Math., 1936,7, 103.
A generalisation of Eisenhart’s result and can be easily established by his own methods;vide, Eisenhart,Bull. American Math. Soc., 1922, 28, 425–27.
D. D. Kosambi,Quart. J. of Math. (Oxford), 1936,7, 103.
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(Communicated by Prof. A. Narasinga Rao, Annamalainagar)
I express my thanks to Prof. D. D. Kosambi for his kind guidance and helpful suggestions.
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Seetharaman, V. On the existence of a metric for path-spaces of order two. Proc. Indian Acad. Sci. (Math. Sci.) 12, 399 (1940). https://doi.org/10.1007/BF03172586
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DOI: https://doi.org/10.1007/BF03172586