A Sampler of Riemann-Finsler Geometry
A Sampler of Riemann-Finsler Geometry
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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.
- Readable and user friendly
- Contains an abundance of instructive examples and technology that can be transferred to other situations
- Deals with topics that are important, but which have not had a detailed exposition elsewhere
Product details
- Published: November 2004
- Format: Hardback
- ISBN: 9780521831819
- Length: 376 pages
- Dimensions: 244 × 160 × 25 mm
- Weight: 0.654kg
- Availability: Available
Table of Contents
- 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.
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