ENGLISH

Riemann-Finsler Geometry

By Shiing-Shen Chern , Zhongmin Shen

Book information

Publisher
World Scientific Publishing Company
Year
2005
ISBN
9789812383587, 9812383581
LCC
QA689 .C48 2005
Open Library ID
OL22632531M
Language
english
Format
DJVU
Filesize
2 MB (1988604 bytes)
Series
Nankai Tracts in Mathematics
Pages
204\204
Library
mexmat
Time added
2014-10-05 02:30:00

Description

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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