Abstract
Recently M. Matsumoto [5] studied automorphism of a Finsler bundle, called left translation of the bundle in his paper, and investigated the conditions that an automorphism preserves a Finsler connection. In this note, suggested by M. Matsumoto [5], we also study the gauge transformations of Finsler bundles and Finsler vector bundles, and investigate their actions on Finsler connections. It must be noted that our present study is a special case of a general theory, since Finsler bundles or Finsler vector bundles are defined as special fiber bundles over the tangent bundle of the base manifold (cf. Kirkovits-Otsuji-Aikou [4], Otsuji [7]).
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References
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© 1996 Springer Science+Business Media Dordrecht
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Kirkovits, M.S., Otsuji, T., Aikou, T. (1996). Some Remarks on Automorphisms of Finsler Bundles. 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_8
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DOI: https://doi.org/10.1007/978-94-015-8650-4_8
Publisher Name: Springer, Dordrecht
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