Abstract
Let F n = (M, F) be a smooth Finsler space i.e. C ∞ manifold M and map F : TM → R, (x, y) ↦ F(x, y). Here x = x i) are coordinates on M and (x, y) = (x i, y i) are coordinates on the tangent manifold TM projected on M by τ. The indices i, j, k, ... will run from 1 to n = dim M and the Einstein convention on summation is implied. The geometrical objects on TM whose local components change as on M i.e. ignoring their dependence on y, will be called Finsler objects as in [7] or d-objects as in [8].
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Anastasiei, M., Shimada, H. (2000). Deformations of Finsler Metrics. In: Antonelli, P.L. (eds) Finslerian Geometries. Fundamental Theories of Physics, vol 109. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4235-9_6
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DOI: https://doi.org/10.1007/978-94-011-4235-9_6
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