An Introduction to Riemann-Finsler Geometry

D. Bao

ISBN 10: 038798948X / ISBN 13: 9780387989488

Verlag: Springer New York, Springer US Mär 2000, 2000

Beschreibung

Neuware -In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 460 pp. Englisch. Bestandsnummer des Verkäufers 9780387989488

Bibliografische Details

Titel: An Introduction to Riemann-Finsler Geometry

Verlag: Springer New York, Springer US Mär 2000

Erscheinungsdatum: 2000

Einband: Buch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

Zhongmin Shen is Associate Professor of Mathematics at Indiana University-Purdue University at Indianapolis (IUPUI).