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, 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.
Volumes on Normed and Finsler Spaces
J.C. Alvarez Paiva, A. C. Thompson
págs. 1-48
Anisotropic and Crystalline Mean Curvature Flow
Giovanni Bellettini
págs. 49-82
Finsler Geometry on Complex Vector Bundles
Tadashi Aikou
págs. 83-105
Finsler Geometry of Holomorphic Jet Bundles
Karen Chandler, Pit-Mann Wong
págs. 107-196
Ricci and Flag Curvatures in Finsler Geometry
David Bao, Colleen Robles
págs. 197-259
págs. 261-302
págs. 303-355
págs. 357-363
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