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.
Series: Mathematical Sciences Research Institute Publications
Number Of Pages: 376
Published: 1st October 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6
Weight (kg): 0.7