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Finsler Surfaces and a Generalized Gauss-Bonnet Theorem

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An Introduction to Riemann-Finsler Geometry

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 200))

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Abstract

So far, our treatment has emphasized the use of natural coordinates. At the beginning of Chapter 2, we stated our policy that in important computations, we only use objects which are invariant under positive rescaling in y. Consequently, our treatment using natural coordinates on TM \0 can be regarded as occurring on the (projective) sphere bundle SM, in the context of homogeneous coordinates.

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References

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Bao, D., Chern, SS., Shen, Z. (2000). Finsler Surfaces and a Generalized Gauss-Bonnet Theorem. In: An Introduction to Riemann-Finsler Geometry. Graduate Texts in Mathematics, vol 200. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1268-3_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1268-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7070-6

  • Online ISBN: 978-1-4612-1268-3

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