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
A sampler of Riemann-Finsler geometry
β Scribed by David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen
- Book ID
- 127422794
- Publisher
- Cambridge University Press
- Year
- 2004
- Tongue
- English
- Weight
- 2 MB
- Series
- Mathematical Sciences Research Institute publications 50
- Category
- Library
- City
- Cambridge, UK; New York
- ISBN-13
- 9780521831819
No coin nor oath required. For personal study only.
β¦ Synopsis
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 pedagogical treatment elsewhere. Each article will open the door to an active area of research, and is suitable for a special topics course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles, 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