Riemann-Finsler Geometry by Shiing-Shen Chern, Zhongmin Shen

Riemann-Finsler Geometry



Download Riemann-Finsler Geometry




Riemann-Finsler Geometry Shiing-Shen Chern, Zhongmin Shen
Language: English
Page: 204
Format: djvu
ISBN: 9812383581, 9789812383587
Publisher: World Scientific Publishing Company

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.

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