Abstract
In the geometries based on Lagrangians such as Finsler or Lagrange geometry [2],[6],[9], the so-called deflection tensor field is strongly involved. Its significance for Finsler geometry was pointed out by M.Matsumoto, [5], [6, Ch.3], when he formulated the well-known axioms determining the Cartan connection of a Finsler space. The fifth (and the last) axiom requires that the deflection tensor field vanishes. Later M.Hashiguchi, [4], showed it is possible for this axiom to be replaced by “deflection tensor is prescribed.”
This work was supported by NSERC grant A-7667 to Professor Dr. P.L. Antonelli.
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Anastasiei, M. (1996). On Deflection Tensor Field in Lagrange Geometries. 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_1
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DOI: https://doi.org/10.1007/978-94-015-8650-4_1
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