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A solution in the finsler geometry

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Il Nuovo Cimento B (1971-1996)

Summary

The metric tensor for one of the simplest cases is calculated in the Finsler geometry. For the spherically symmetric-coordinate system, it is assumed that effective components of differential variables are for time and radial directions. And a solution corresponding to the Friedmann solution in the Riemann space is discussed.

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References

  1. P. Finsler:Ueber Kurven und Flaechen in allgemeinen Raumen, Dissertation, Goettingen, (1919).

  2. Y. Takano:Lett. Nuovo Cimento,10, 747 (1974).

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  3. H. Ishikawa:J. Math. Phys.,22, 5 (1981);Nuovo Cimento B,56 (2), 252 (1980).

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  4. M. Matsumoto:Foundations of Finsler Geometry and Special Finsler Spaces (Kaiseisha, Shiga, Japan, 1986); M. Matsumoto and L. Tamassy:Demonstratio Mathematica,13 (2), 551 (1980).

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Authors and Affiliations

  1. Department of Control Engineering, Takuma National College of Technology, 769-11, Kagawa, Japan

    T. Matono

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  1. T. Matono
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Matono, T. A solution in the finsler geometry. Nuov Cim B 108, 343–349 (1993). https://doi.org/10.1007/BF02887494

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  • DOI: https://doi.org/10.1007/BF02887494

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