A01=Shiing-shen Chern
A01=Zhongmin Shen
Author_Shiing-shen Chern
Author_Zhongmin Shen
Berwald Metric
Cartan Torsion
Category=PBH
Category=PBMP
Category=PBMS
Category=PBP
Category=PH
Chern Connection
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eq_isMigrated=2
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Equivalence Problem
Finsler Metric
Flag Curvature
Riemannian Metric
S-Curvature
Product details
- ISBN 9789812383587
- Publication Date: 11 May 2005
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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Riemann-Finsler geometry is a subject that concerns manifolds with Finsler metrics, including Riemannian metrics. It has applications in many fields of the natural sciences. Curvature is the central concept in Riemann-Finsler geometry. This invaluable textbook presents detailed discussions on important curvatures such as the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with Finsler metrics with special curvature or geodesic properties, such as projectively flat Finsler metrics, Berwald metrics, Finsler metrics of scalar flag curvature or isotropic S-curvature, etc. Instructive examples are given in abundance, for further description of some important geometric concepts. The text includes the most recent results, although many of the problems discussed are classical.
