𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Riemann-Finsler Geometry

✍ Scribed by Shiing-Shen Chern, Zhongmin Shen

Book ID
127397090
Publisher
World Scientific
Year
2005
Tongue
English
Weight
994 KB
Series
Nankai tracts in mathematics 6
Category
Library
City
River Edge, N.J
ISBN-13
9789812383587

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Riemann-Finsler geometry
Riemann-Finsler geometry
✍ Enli Guo; Xiaohuan Mo πŸ“‚ Article πŸ“… 2006 πŸ› Higher Education Press and Springer 🌐 English βš– 199 KB
On Riemann-Finsler geometry
On Riemann-Finsler geometry
✍ Xiaohuan Mo πŸ“‚ Article πŸ“… 1998 πŸ› Springer 🌐 English βš– 346 KB
A sampler of Riemann-Finsler geometry
A sampler of Riemann-Finsler geometry
✍ David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen πŸ“‚ Library πŸ“… 2004 πŸ› Cambridge University Press 🌐 English βš– 2 MB

Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have recently undergone significant development but have not had a detailed ped

A sampler of Riemann-Finsler geometry
A sampler of Riemann-Finsler geometry
✍ David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen πŸ“‚ Library πŸ“… 2004 πŸ› Cambridge University Press 🌐 English βš– 3 MB

Finsler geometry generalizes Riemannian geometry in exactly the same way that Banach spaces generalize Hilbert spaces. This book presents expository accounts of six important topics in Finsler geometry at a level suitable for a special topics graduate course in differential geometry. The contributor