TY - BOOK AU - Shen,Yibing AU - Shen,Zhongmin TI - Introduction to modern Finsler geometry SN - 9789814704908 U1 - 516.375 23 PY - 2016/// CY - Singapore PB - World Scientific, KW - Finsler spaces KW - Differential geometry KW - Differentiable manifolds N1 - Includes bibliographical references and index; 1. Differentiable manifolds -- 2. Finsler metrics -- 3. Connections and curvatures -- 4. S-curvature -- 5. Riemann curvature -- 6. Projective changes -- 7. Comparison theorems -- 8. Fundamental groups of Finsler manifolds -- 9. Minimal immersions and harmonic maps -- 10. Einstein metrics -- 11. Miscellaneous topics N2 - 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 ER -