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The electromagnetic field in the higher order relativistic geometrical optics

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New Developments in Differential Geometry

Part of the book series: Mathematics and Its Applications ((MAIA,volume 350))

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Abstract

Continuing the paper[3] we are to study here the higher order relativistic geometrical optics, and describe the theory of the electromagnetic field. In the first two sections there are some old and new results concerning the canonical metrical N-connection CT(JV) of the generalized higher order Lagrange space GL(k)n endowed with the fundamental metric tensor (1.2). The coefficients of CT(N) are given in (2.4).

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References

  1. R. Miron and T. Kawaguchi: Relativistic Geometrical Optics, International Journal of Theoretical Physics. Vol. 30, No. 11, pp.1521–1543, (1991).

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  2. R. Miron and T. Kawaguchi: Sur la the orie geome rique de l’optique relativiste. C.R. Acad. Sci. Paris, t.312, S.II, p.593–598, (1991).

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  3. R. Miron and T. Kawaguchi: Higher order relativistic geometrical optics, Tensor, N.S. Vol. 53, (1993), to appear.

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  4. R. Miron and GH. Atanasiu: Differential Geometry of the IFC-Osculator bundle, Rev. Roumaine. Pures et Appl., to appear, 1994.

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  5. R. Miron and GH. Atanasiu: Higher order Lagrange spaces. Rev. Roumaine. Pures et Appl, to appear, 1994.

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  6. R. Miron and M. Anastasiei: The Geometry of Lagrange spaces: Theory and applications, Kluwer Acad. Publ. FTPH, Nr.59, 1993.

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  7. J.L. Synge: Relativity: General Theory, North-Holland, 1966.

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Author information

Authors and Affiliations

  1. Facul. Matematica, Univ. “Al. I. Cuza“ Iasi, 6600, Iasi, Romania

    Radu Miron

  2. Institute of Information Sciences And Electronics University of Tsukuba, Tsukuba-shi 305, Japan

    Tomoaki Kawaguchi

Authors
  1. Radu Miron
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  2. Tomoaki Kawaguchi
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Informatics, Lajos Kossuth University, Debrecen, Hungary

    L. Tamássy

  2. Department of Geometry, Lóránd Eötvös University, Budapest, Hungary

    J. Szenthe

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© 1996 Kluwer Academic Publishers

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Miron, R., Kawaguchi, T. (1996). The electromagnetic field in the higher order relativistic geometrical optics. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_24

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  • DOI: https://doi.org/10.1007/978-94-009-0149-0_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6553-5

  • Online ISBN: 978-94-009-0149-0

  • eBook Packages: Springer Book Archive

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