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The commutation formulae in a finsler space. I

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Summary

The commutation formulae in Finsler space have been established here on the principle of mathematical induction. Various forms of the results involving partial derivatives with respect to directional arguments and various types of covariant derivatives have been obtained.

References

  1. [1]

    E. Cartan,Les espaces de Finsler, « Actualités 79 », Paris (1934).

  2. [2]

    H. Rund,The Differential Geometry of Finsler Spaces, Springer-Verlag (1959).

  3. [3]

    B. B. Sinha,Studies in Finsler spaces, « Ph. D. thesis », Gorakhpur (1962).

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Mishra, R.B. The commutation formulae in a finsler space. I. Annali di Matematica 75, 363–370 (1967). https://doi.org/10.1007/BF02416809

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Keywords

  • Partial Derivative
  • Covariant Derivative
  • Mathematical Induction
  • Finsler Space
  • Directional Argument