Riemann-Finsler Geometry Shiing-Shen Chern

ISBN: 9789812383587

Published: August 1st 2005

Paperback

204 pages


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Riemann-Finsler Geometry  by  Shiing-Shen Chern

Riemann-Finsler Geometry by Shiing-Shen Chern
August 1st 2005 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 204 pages | ISBN: 9789812383587 | 5.46 Mb

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. ThisMoreRiemann-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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