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On Construction of Landsbergian Characteristic Subalgebra

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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

In this paper we generalize the method of Chem and Weil ([Che 79]) to get characteristic classes relative to the twisted exterior derivative θ(A) in terms of the curvature 2-form. The role of linear connection is played by a pseudoconnection ([Won 62]) while the role of the curvature of the linear connection by the tensorial curvature of the pseudoconnection introduced by the author in [Kov 88]. An application of this method to Landsberg spaces is given.

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© 1996 Springer Science+Business Media Dordrecht

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Kovács, Z. (1996). On Construction of Landsbergian Characteristic Subalgebra. 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_9

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  • DOI: https://doi.org/10.1007/978-94-015-8650-4_9

  • 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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