Introduction to Modern Finsler Geometry - Couverture souple

Shen, Yi-bing; Shen, Zhongmin

 
9789814713160: Introduction to Modern Finsler Geometry

Synopsis

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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Présentation de l'éditeur

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.

Revue de presse

The book can be considered as a survey and an update of modern Finsler geometry, exposing modern techniques and developments. It is however an excellent reference for mathematicians working in the field who will appreciate being guided through the contemporary developments of the subject. --Mathematical Reviews Clippings

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9789814704908: Introduction to Modern Finsler Geometry

Edition présentée

ISBN 10 :  9814704903 ISBN 13 :  9789814704908
Editeur : World Scientific Publishing Co P..., 2016
Couverture rigide