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On normal coordinates in Finsler spaces

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References

  1. H. Seifert, u.W. Threlfall: Variationsrechnung im Großen. Leipzig 1938 und New York 1951.

  2. W. Mayer: Riemannsche Geometrie, vol. II ofA. Duschek -W. Mayer, Lehrbuch der Differentialgeometrie. Leipzig 1930.

  3. I. H. C. Whitehead: On the covering of a complete space by the geodesics through a point. Ann. of Math.36, 679–704 (1935).

    Google Scholar 

  4. T. Y. Thomas: On normal coordinates. Proc. Nat. Acad. Sci. USA22, 309–312 (1936).

    Google Scholar 

  5. H. Busemann: On geodesic curvature in two-dimensional Finsler spaces. Ann. di Mat. Ser. IV31, 281–295 (1950).

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  6. H. Rund: Eine Krümmungstheorie derFinslerschen Räume. Math. Ann.125, 1–18 (1952).

    Google Scholar 

  7. H. Busemann: Metric methods in Finsler spaces and in the foundations of geometry. Ann. Math. Studies8, Princeton 1942.

  8. I. H. C. Whitehead: TheWeierstrass E-function in differential metric geometry. Quart. J. Oxford Ser.4, 291–296 (1933).

    Google Scholar 

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Busemann, H. On normal coordinates in Finsler spaces. Math. Ann. 129, 417–423 (1955). https://doi.org/10.1007/BF01362381

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