A Sampler of Riemann-Finsler Geometry
A Sampler of Riemann-Finsler Geometry by David Bao, Robert L. Bryant, Shiing-Shen Chern, Zhongmin Shen
English | 2004 | ISBN: 0521831814 | 376 Pages | PDF | 4.0 MB
English | 2004 | ISBN: 0521831814 | 376 Pages | PDF | 4.0 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 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.