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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
Comparison Finsler Geometry
Language: en
Pages: 324
Authors: Shin-ichi Ohta
Categories: Mathematics
Type: BOOK - Published: 2021-10-09 - Publisher: Springer Nature

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This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci curvature into t
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
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
The Differential Geometry of Finsler Spaces
Language: en
Pages: 298
Authors: Hanno Rund
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The present monograph is motivated by two distinct aims. Firstly, an endeavour has been made to furnish a reasonably comprehensive account of the theory of Fins