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On the existence of a metric for path-spaces of order two

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References

  1. 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.

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  3. V. Seetharaman,Proc. Ind. Acad. Sci., 1937,5, No. 2.

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  5. 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.

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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

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