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 textbook presents detailed discussions on important curvatures such 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, and Finsler metrics of scalar curvature or isotropic S-curvature. 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.
By:
Shiing-shen Chern (Nankai Univ China), Zhongmin Shen (Indiana Univ-purdue Univ Indianapolis, Usa) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore Volume: 6 Dimensions:
Height: 230mm,
Width: 162mm,
Spine: 17mm
Weight: 558g ISBN:9789812383570 ISBN 10: 9812383573 Series:Nankai Tracts in Mathematics Pages: 204 Publication Date:11 May 2005 Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format:Hardback Publisher's Status: Active
Reviews for Riemann-finsler Geometry
.,. concise book written for graduate students and young geometers who are interested in Riemann?Finsler geometry.?