Abstract
The Roman letter M will denote a smooth (i.e. C∞) manifold of dimension n. It will be assumed Hausdorff, connected and separable in the sense of having a countable base for its topology. The smooth structure is a family F(M) of coordinate charts {(Uα, hα)} which form an open covering of M, and for which all overlap maps
are smooth (i.e. C∞), where each hα: Uα → ℝn is a homeomorphism onto an open set of Euclidean n-space ℝn. It is also required that F is maximal with respect to the smoothness property of (1.1): if (Uγ, hγ) has non-empty overlap with an element of F, then it is itself in F.
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© 1999 Springer Science+Business Media Dordrecht
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Antonelli, P.L., Zastawniak, T.J. (1999). Finsler Spaces. In: Fundamentals of Finslerian Diffusion with Applications. Fundamental Theories of Physics, vol 101. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4824-5_2
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DOI: https://doi.org/10.1007/978-94-011-4824-5_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6023-3
Online ISBN: 978-94-011-4824-5
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