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
β Scribed by David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen
- Book ID
- 127447727
- Publisher
- Cambridge University Press
- Year
- 2004
- Tongue
- English
- Weight
- 3 MB
- Series
- Mathematical Sciences Research Institute publications 50
- Category
- Library
- City
- Cambridge, UK; New York
- ISBN
- 0521831814
No coin nor oath required. For personal study only.
β¦ Synopsis
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 contributors consider issues related to volume, geodesics, curvature and mathematical biology, and include a variety of instructive examples.
π SIMILAR VOLUMES
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 RiemannβFinsler geometry. This invaluable textbook presents detailed discussions on import