References
S. Ikeda:Tensor, N. S.,24, 60 (1972);Prolegomena to Applied Geometry, Chap. III and IV Saitama, 1975) (in Japanese).
S. Ikeda:Lett. Nuovo Cimento,10, 341 (1974);Inter. Journ. Theor. Phys.,11, 205 (1975).
H. Yukawa:Phys. Rev.,77, 219 (1950);80, 1047 (1950).
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S. Ikeda:Inter. Journ. Theor. Phys., to be published.
As to the differential geometry of higher-order spaces, see, for example,M. Kawaguchi:RAAG Memoris,3, 718 (1962).
As for the mathematical theory of Finsler spaces, see, for exampleE. Cartan:Les espaces de Finsler (Paris, 1934);H. Rund:The Differential Geometry of Finsler Space (Berlin, 1959).
J. I. Horváth:Phys. Rev.,80, 901 (1950);J. I. Horváth andA. Moór:Zeits. Phys.,131, 544 (1952).
S. Ikeda:Lett. Nuovo Cimento,13, 497 (1975).
This serves as the basis connexion of\(\dot x\) in the theory of higher-order spaces (7).
A. Lichnerowicz:Théorie relativiste de la gravitation et de l’électromagnétisme (Paris, 1955);M.-A. Tonnelat:Les théories unitaires de l’électromagnétism et de la gravitation (Paris, 1965).
G. Randers:Phys. Rev.,59, 195 (1941); ofM. Matsumoto:Metrical Differential Geometry (Tokyo, 1975) (in Japanese).
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Ikeda, S. Some finslerian features underlying the theory of physical fields. Lett. Nuovo Cimento 15, 623–626 (1976). https://doi.org/10.1007/BF02725727
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DOI: https://doi.org/10.1007/BF02725727