Introduction To Modern Finsler Geometry

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    Introduction to Modern Finsler Geometry
    By: Yi-Bing Shen; Zhongmin Shen
    Publisher:
    WSPC
    Print ISBN: 9789814704908, 9814704903
    eText ISBN: 9789814704922, 981470492X
    Pages: 408
    Format: EPUB
    Available from $ 38.00 USD
    SKU 9789814704922
    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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    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

    Graduates and researchers interested in Finsler geometry.
    Finsler Metrics;Chern Connection;Ricci Curvature;Riemann Curvature;Flag Curvature;Non-Riemannian Quantity;Comparison Theorem;Fundamental Group;Minimal Immersion;Harmonic Map;Einstein Metric;Projective Transformation;Conformal Transformation
     

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