A Sampler of Riemann-finsler Geometry
, by Edited by David Bao , Robert L. Bryant , Shiing-Shen Chern , Zhongmin ShenNote: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780521168731 | 0521168732
- Cover: Paperback
- Copyright: 9/9/2010
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.