Introduction to Modern Finsler Geometry

Nonfiction, Science & Nature, Mathematics, Transformations, Geometry
Cover of the book Introduction to Modern Finsler Geometry by Yi-Bing Shen, Zhongmin Shen, World Scientific Publishing Company
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Author: Yi-Bing Shen, Zhongmin Shen ISBN: 9789814704922
Publisher: World Scientific Publishing Company Publication: February 25, 2016
Imprint: WSPC/HEP Language: English
Author: Yi-Bing Shen, Zhongmin Shen
ISBN: 9789814704922
Publisher: World Scientific Publishing Company
Publication: February 25, 2016
Imprint: WSPC/HEP
Language: English

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds.

In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It covers projective transformations, comparison theorems, fundamental group, minimal immersions, harmonic maps, Einstein metrics, conformal transformations, amongst other related topics. The authors made great efforts to ensure that the contents are accessible to senior undergraduate students, graduate students, mathematicians and scientists.

Contents:

  • Foundations:

    • Differentiable Manifolds
    • Finsler Metrics
    • Connections and Curvatures
    • S-Curvature
    • Riemann Curvature
  • Further Studies:

    • Projective Changes
    • Comparison Theorems
    • Fundamental Groups of Finsler Manifolds
    • Minimal Immersions and Harmonic Maps
    • Einstein Metrics
    • Miscellaneous Topics
  • Appendix:

    • Maple Program

Readership: Graduates and researchers interested in Finsler geometry.
Key Features:

  • This book is for the beginner as well as researchers who are interested in Finsler geometry
  • This book is written based on several years of teaching experience
  • It is so far the most comprehensive book on Finsler geometry
  • Finsler geometry develops rapidly, especially in China. It includes recent results for further studies where many of these results are obtained by young Chinese mathematicians
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds.

In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It covers projective transformations, comparison theorems, fundamental group, minimal immersions, harmonic maps, Einstein metrics, conformal transformations, amongst other related topics. The authors made great efforts to ensure that the contents are accessible to senior undergraduate students, graduate students, mathematicians and scientists.

Contents:

Readership: Graduates and researchers interested in Finsler geometry.
Key Features:

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