A Sampler of Riemann-Finsler Geometry

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.