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An Introduction to Riemann-Finsler Geometry Softcover Repri Edition
Contributor(s): Bao, D. (Author), Chern, S. -S (Author), Shen, Z. (Author)

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 ISBN: 1461270707     ISBN-13: 9781461270706
Publisher: Springer
OUR PRICE: $61.74  

Binding Type: Paperback - See All Available Formats & Editions
Published: October 2012
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Additional Information
BISAC Categories:
- Mathematics | Geometry - Analytic
Dewey: 516
Series: Graduate Texts in Mathematics
Physical Information: 0.93" H x 6.14" W x 9.21" L (1.41 lbs) 435 pages
Features: Maps
 
Descriptions, Reviews, Etc.
Publisher Description:
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.
 
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