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A Sampler of Riemann-Finsler Geometry: 50 (Mathematical Sciences Research Institute Publications, Series Number 50) - Hardcover
Synopsis
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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Book Description
This book presents expository accounts of six important topics in Finsler geometry suitable for a special-topics graduate course in differential geometry. They treat issues related to volume, geodesics, curvature and mathematical biology, and provide a good variety of instructive examples.
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A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications, Series Number 50)
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Cambridge University Press, 2004
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ISBN 13: 9780521831819
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A Sampler of Riemann-Finsler Geometry [Mathematical Sciences Research Institute Publications 50]
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A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications)
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ISBN 10: 0521831814
ISBN 13: 9780521831819
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A Sampler of Riemann-Finsler Geometry
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Sampler Of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications)
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SAMPLER OF RIEMANN-FINSLER GEOMETRY (MATHEMATICAL SCIENCES RESEARCH INSTITUTE PUBLICATIONS)
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A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications, Series Number 50)
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A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications)
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ISBN 13: 9780521831819
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A Sampler of Riemann-Finsler Geometry (Mathematical Sciences Research Institute Publications, Series Number 50)
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Cambridge University Press, 2004
ISBN 10: 0521831814
ISBN 13: 9780521831819
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A Sampler of Riemann-Finsler Geometry (Hardcover)
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ISBN 10: 0521831814
ISBN 13: 9780521831819
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Hardcover. Condition: new. Hardcover. This book presents an expository account of six important topics in Riemann-Finsler geometry suitable for use in a special topics course in graduate level differential geometry. These topics 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 geometrical research. Rademacher gives a detailed account of his Sphere Theorem for non-reversible Finsler metrics. Alvarez and Thompson present an accessible discussion of the picture which emerges from their search for a satisfactory notion of volume on Finsler manifolds. Wong studies the geometry of holomorphic jet bundles, and finds that Finsler metrics play an essential role. Sabau studies protein production in cells from the Finslerian perspective of path spaces, employing both a local stability analysis of the first order system, and a KCC analysis of the related second order system. Shen's article discusses Finsler metrics whose flag curvature depends on the location and the direction of the flag poles, but not on the remaining features of the flags. Bao and Robles focus on Randers spaces of constant flag curvature or constant Ricci curvature. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521831819
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