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Conformal Transformations in Finsler Geometry

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Finsler and Lagrange Geometries
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Abstract

Conformal transformations of Berwald connections are investigated with coordinate-free methods, such as Frölicher-Nijenhuis Calculus. Some conformally invariant tensors are derived.

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References

  1. Del Castillo, L.R., Tenseurs de weyl d’un spray de directions, thèse 3 Iem̀e cycle, Grenoble, (1973).

    Google Scholar 

  2. Frölicher-Nijenhuis, Theory of vector valued differential forms, Part I., Proc. Kon. Ned. Akad., 59 (1956), 338–559.

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  3. Grifone, J., Structure Presque -tangente et connexions I, Ann. Inst. Fourier, Grenoble, 22 1 (1972),284–334.

    Article  Google Scholar 

  4. Grifone, J., Structure Presque- tangente et connexions I, Ann. Inst. Fourier, Grenoble, 22 1 (1972),291–338.

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  5. Izumi, H., Conformal transformations of Finsler spaces. II. An hconformally flat Finsler space, Tensor, N.S., 34 (1980), 337 – 359.

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  6. Klein, J. and Voutier, A., Formes extérieures génératrices de sprays, Ann. Inst. Fourier, Grenoble, 18 2 (1968), 241 – 260.

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  7. Mesbah, F., Conformal transformations in Finsler geometry, M.Sc. thesis, (1983).

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  8. Rund, H., The Differential Geometry of Finsler Spaces, Springer — Verlag, Berlin, 1959.

    Book  Google Scholar 

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© 2003 Springer Science+Business Media New York

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Hassan, B.T., Mesbah, F. (2003). Conformal Transformations in Finsler Geometry. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_10

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  • DOI: https://doi.org/10.1007/978-94-017-0405-2_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6325-0

  • Online ISBN: 978-94-017-0405-2

  • eBook Packages: Springer Book Archive

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