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An Introduction to Riemann-Finsler Geometry pp 1–26Cite as

Finsler Manifolds and the Fundamentals of Minkowski Norms

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

Abstract

Finsler geometry has its genesis in integrals of the form

$$\int_a^b {F\left( {{x^1}, \ldots ,{x^n};\frac{{d{x^1}}}{{dt}}, \ldots ,\frac{{d{x^n}}}{{dt}}} \right)} dt$$

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Houston, University Park, Houston, TX, 77204, USA

    D. Bao

  2. Department of Mathematics, University of California at Berkeley, Berkeley, CA, 94720, USA

    S.-S. Chern

  3. Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, Indianapolis, IN, 46202, USA

    Z. Shen

Authors
  1. D. Bao
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  2. S.-S. Chern
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  3. Z. Shen
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© 2000 Springer Science+Business Media New York

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Bao, D., Chern, SS., Shen, Z. (2000). Finsler Manifolds and the Fundamentals of Minkowski Norms. 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_1

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  • DOI: https://doi.org/10.1007/978-1-4612-1268-3_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7070-6

  • Online ISBN: 978-1-4612-1268-3

  • eBook Packages: Springer Book Archive

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