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An Introduction to Riemann-Finsler Geometry
Language: en
Pages: 453
Authors: D. Bao
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an a
Riemann-Finsler Geometry
Language: en
Pages: 206
Authors: Shiing-Shen Chern
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: World Scientific

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Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the natu
Lectures On Finsler Geometry
Language: en
Pages: 323
Authors: Zhongmin Shen
Categories: Mathematics
Type: BOOK - Published: 2001-05-22 - Publisher: World Scientific

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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 19
Differential Geometry of Spray and Finsler Spaces
Language: en
Pages: 260
Authors: Zhongmin Shen
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary differential e
Finsler Geometry
Language: en
Pages: 149
Authors: Xinyue Cheng
Categories: Mathematics
Type: BOOK - Published: 2013-01-29 - Publisher: Springer Science & Business Media

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"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of