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Titlebook: An Introduction to Riemann-Finsler Geometry; D. Bao,S.-S. Chern,Z. Shen Textbook 2000 Springer Science+Business Media New York 2000 Calc.D

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https://doi.org/10.1007/978-3-8350-9542-7s, we only use objects which are invariant under positive rescaling in .. Consequently, our treatment using natural coordinates on . can be regarded as occurring on the (projective) sphere bundle ., in the context of homogeneous coordinates.
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Zusammenfassende Bewertung der Ergebnisse,iant differentiation. That is explored in a series of guided exercises at the end of 5.2. (Those exercises involve the second variation as well.) A systematic self-contained account can also be found in [BC1].
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https://doi.org/10.1007/978-3-658-35467-1Finsler geometry has its genesis in integrals of the form ..
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Zusammenfassende Bewertung der Ergebnisse,The curvature 2-forms of the Chern connection are ..
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Zusammenfassende Bewertung der Ergebnisse,In this chapter, the following assumptions are made throughout:
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https://doi.org/10.1007/978-3-8350-9542-7In §5.5, we estimated the growth of certain Jacobi fields using the first few terms of a power series. That was valid only for a short time interval. In the present section, we use a more delicate approach—known as a comparison argument. The resulting estimate holds for long time intervals.
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