A Sampler of Riemann-Finsler Geometry: 50 (Mathematical Sciences Research Institute Publications, Series Number 50)

Cambridge University Press
Edition: Illustrated, 11/1/2004
EAN 9780521831819, ISBN10: 0521831814

Hardcover, 376 pages, 23.4 x 15.5 x 2.3 cm
Language: English

Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an expository account of seven important topics in Riemann–Finsler geometry, ones which have 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 parametrised jet bundles, and include a variety of instructive examples.

Preface
Synopses
1. Volumes on normed and Finsler spaces J. C. Álverez Paiva and A. C. Thompson
2. Anisotropic and crystalline mean curvature flow Giovanni Bellettini
3. Finsler geometry on complex vector bundles Tadashi Aikou
4. Finsler geometry of holomorphic jet bundles Karen Chandler and Pit-Mann Wong
5. Ricci and flag curvatures in Finsler geometry David Bao and Colleen Robles
6. Nonreversible Finsler metrics of positive flag curvature Hans-Bert Rademacher
7. Landsberg curvature, S-curvature and Riemann curvature Zhongmin Shen
Index.