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Reference11 articles.
1. H. Rund:The Differential Geometry of Finsler Spaces (Springer-Verlag, Berlin, 1959), pp.65–71 for discussions on covariant derivatives. See also G. S. Asanov:Finsler Geometry, Relativity and Gauge Theories (D. Reidel, Boston, Mass., 1985); A. Bejancu:Finsler Geometry and Applications (Ellis Horwood, Chichester, 1990).
2. Element of support is denoted by (xi, xi). Namely, at each point xi a previously assigned direction (or velocity) xi must be given.
3. The covariant derivative of the metric tensor vanishes.
4. For an excellent review, seeW. Pauli:Theory of Relativity (Pergamon, London, 1958, translated by G. Feld), pp. 192–202, 223-224.
5. See, for example, ref.[1], p. 67, pp. 94-101.
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