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Table of contents(14 chapters)
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Finsler Manifolds and Their Curvature
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Calculus of Variations and Comparison Theorems
About this book
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.
Reviews
EMS Newsletter, Issue 41, September 2001
Authors and Affiliations
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Department of Mathematics, University of Houston, University Park, Houston, USA
D. Bao
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Department of Mathematics, University of California at Berkeley, Berkeley, USA
S.-S. Chern
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Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, Indianapolis, USA
Z. Shen
Bibliographic Information
Book Title: An Introduction to Riemann-Finsler Geometry
Authors: D. Bao, S.-S. Chern, Z. Shen
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-1268-3
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2000
Hardcover ISBN: 978-0-387-98948-8
Softcover ISBN: 978-1-4612-7070-6
eBook ISBN: 978-1-4612-1268-3
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XX, 435
Topics: Geometry