Ebook: A sampler of Riemann-Finsler geometry
- Genre: Mathematics // Geometry and Topology
- Series: Mathematical Sciences Research Institute publications 50
- Year: 2004
- Publisher: Cambridge University Press
- City: Cambridge, UK; New York
- Language: English
- pdf
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have recently 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 parametrized jet bundles, and include a variety of instructive examples.
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