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Killing Equations in Tangent Bundle

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Lagrange and Finsler Geometry

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 76))

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Abstract

Recently, Lie derivatives of d-object fields have been studied in vector bundles (cf. [9]). The purpose of this paper is to apply this theory to tangent bundles and obtain the Killing equations with respect to an infinitesimal transformations. Uutil now, these problems have studied only for Finsler spaces.

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References

  1. Gh. Gheorghiev and V. Oproiu, Geometrie diferenlialâ, Vol. I, II, Editura Academiei, 1986–194 M. Yawata 1987.

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  9. M. Yawata, Infinitesimal Transformation on Total Space of a Vector Bundle. Applications, Ph.D. Thesis,Universitatea “A1.I. Cuza” Iasi.

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© 1996 Springer Science+Business Media Dordrecht

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Yawata, M. (1996). Killing Equations in Tangent Bundle. In: Antonelli, P.L., Miron, R. (eds) Lagrange and Finsler Geometry. Fundamental Theories of Physics, vol 76. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8650-4_16

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  • DOI: https://doi.org/10.1007/978-94-015-8650-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4656-7

  • Online ISBN: 978-94-015-8650-4

  • eBook Packages: Springer Book Archive

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