An Introduction to Riemann-Finsler Geometry (Graduate Texts in Mathematics, 200) 2000th Edition by David Dai-Wai Bao (PDF)

Description

This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. “This book offers the most modern treatment of the topic …” EMS Newsletter.

User’s Reviews

Editorial Reviews: Review “This book offers the most modern treatment of the topic and will attract both graduate students and a broad community of mathematicians from various related fields.”EMS Newsletter, Issue 41, September 2001 About the Author Zhongmin Shen is Associate Professor of Mathematics at Indiana University-Purdue University at Indianapolis (IUPUI).

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The authors claim to turn the subject of Finsler geometry with this bookinto a more teachable one and to have a candid style of writing.This is definitly true for the first 50 pages, where the concepts ofFinsler geometry are very well explained and the exercisesare manageable and perfectly interrelated with the text.Then the Chern connection and the curvature tensor of Finsler geometrydrop out of the heaven without any explanation of the ideas leading to theseconstructions. So one has to derive them alone. In doing so oldertexts on Finsler geometry like the Grundlehren text of Rund are morehelpful than this volume.But the book was apparently prepared with great care. The layout must be calledbeautyful and it really facilitates reading this book. Many referencesto the literature and classical papers of the subject are included. So beginners,which want to get a first aquaintance in Finsler geometry, find at least some help.

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