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Lectures on Finsler Geometry (Series on Multivariate Analysis) [Paperback]

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Item description for Lectures on Finsler Geometry (Series on Multivariate Analysis) by Zhongmin Shen...

In 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P. Finsler studied the variation problem in regular metric spaces. Around 1926, L. Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D. Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world. Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   324
Est. Packaging Dimensions:   Length: 0.75" Width: 6" Height: 8.25"
Weight:   0.95 lbs.
Binding  Softcover
Publisher   World Scientific Publishing Company
ISBN  9810245319  
ISBN13  9789810245313  

Availability  0 units.

More About Zhongmin Shen

Register your artisan biography and upload your photo! Zhongmin Shen was born in 1963 and has an academic affiliation as follows - Purdue University, Indiana.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Analytic Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology > Analytic Geometry
6Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry

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