Introduction To Modern Finsler Geometry

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A01=Yi-bing Shen
A01=Zhongmin Shen
Author_Yi-bing Shen
Author_Zhongmin Shen
Category=PBMP
Category=PBMS
Chern Connection
Comparison Theorem
Conformal Transformation
Einstein Metric
eq_isMigrated=1
eq_isMigrated=2
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Finsler Metrics
Flag Curvature
Fundamental Group
Harmonic Map
Minimal Immersion
Non-Riemannian Quantity
Projective Transformation
Ricci Curvature
Riemann Curvature

Product details

  • ISBN 9789814704908
  • Publication Date: 16 Apr 2016
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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.

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