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Prog. Theor. Phys. Vol. 65 No. 6 (1981) pp. 2075-2078
Letters
Some Structurological Features Induced by the Internal Variable in the Theory of Fields in Finsler Spaces
Satoshi Ikeda
Department of Mechanical Engineering, Faculty of Science and
Technology, Science University of Tokyo, Noda 278
(Received January 31, 1981)
Abstract:
Some physico-geometrical remarks are made on the spatial structure of the Finslerian field by taking account of the intrinsic behaviour (i.e., δy) of the internal variable (y), where δy means the base connection of y, which differs, in general, from the ordinary absolute differential of y (i.e., Dy).
URL :
http://ptp.ipap.jp/link?PTP/65/2075/
DOI : 10.1143/PTP.65.2075
References:
- See, for example, J. I. Horváth, Suppl. Nuovo Cim. 9 (1958), 444.
Y. Takano, Prog. Theor. Phys. 40 (1968), 1159[PTP].
- J. I. Horváth, Acta Phys. Chem. Szeged 7 (1961), 3.
- S. Ikeda, Found. Phys. 10 (1980), 281.
- M. Matsumoto, Foundation of Finsler Geometry and Special Finsler Spaces (Springer-Verlag, Berlin-New York).
- E. Cartan, Les espaces de Finsler (Hermann, Paris, 1934).
- Cf. A. Kawaguchi, Rend. Circ. Mate. Palermo 56 (1932), 246.
M. Kawaguchi, RAAG Memoirs 3 (1962), 718.
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- G. Maugin, C. R. Acad. Sci. Paris 273 (1971), A474.
- S. Ikeda, Lett. Nuovo Cim 25 (1979), 26.
- S. Ikeda, Prog. Theor. Phys. 64 (1980), 2265[PTP].
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- H. Weyl, S. -B. Preuss. Akad. Wiss. (1918), 465.
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- S. Ikeda, in preparation. As an introduction, see also a forthcoming paper of the author, S. Ikeda, Math. Phys. (to be published).
