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Riemann-Finsler Geometry (Nankai Tracts in Mathematics) (Nankai Tracts in Mathematics)
Posted on 2010-04-15
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Author: Shiing-Shen Chern, Zhongmin Shen
Publisher: World Scientific Publishing Company (2005) Binding: Hardcover, 204 pages pricer: $45.00 ISBN-10: 9812383573 editorialreviews 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¨CFinsler 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. checked checked checked
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