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  3. A Sampler of Riemann-Finsler Geometry
  • Cited by 2
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2025
      November 2004
      ISBN:
      9781009701280
      9780521831819
      9780521168731
      DOI:
      https://doi.org/10.1017/9781009701280
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.654kg, 376 Pages
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.52kg, 376 Pages
      • Subjects:
      Mathematics, Mathematical Physics, Real and Complex Analysis, Geometry and Topology
      Series:
      Mathematical Sciences Research Institute Publications
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    • Selected: Digital
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    Subjects:
    Mathematics, Mathematical Physics, Real and Complex Analysis, Geometry and Topology
    Series:
    Mathematical Sciences Research Institute Publications
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    Book description

    Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an expository account of seven important topics in Riemann–Finsler geometry, ones which have undergone significant development but have not had a detailed pedagogical treatment elsewhere. Each article will open the door to an active area of research, and is suitable for a special topics course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry and parametrised jet bundles, and include a variety of instructive examples.

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