图书简介
Our comprehensive book is an introduction to the basics of Finsler geometry and it also includes recent developments in this area. We deal with local geometry as well as global geometry of Finsler manifolds. In Part I, we 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 transformation, comparison theorems, fundamental group, minimal immersions, harmonic maps, Einstein metrics, conformal transformations, amongst other related topics. The authors made great efforts to ensure the contents are accessible to senior undergraduate students, graduate students, mathematicians and scientists.
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
Foundations: Differentiable Manifolds; Finsler Metrics; Connections and Curvatures; S-Curvature; Riemann Curvature; Further Studies: Projective Transformation; Comparison Theorems; Fundamental Groups of Finsler Manifolds; Minimal Immersions and Harmonic Maps; Einstein Metrics; Miscellaneous Topics; Appendix: Maple Programs;
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