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A Sampler of Riemann-Finsler Geometry

Part of Mathematical Sciences Research Institute Publications

Editors:
David Bao, University of Houston
Robert L. Bryant, Duke University, North Carolina
Shiing-Shen Chern, University of California, Berkeley
Zhongmin Shen, Purdue University, Indiana

J. C. Álverez Paiva, A. C. Thompson, Giovanni Bellettini, Tadashi Aikou, Karen Chandler, Pit-Mann Wong, David Bao, Colleen Robles, Hans-Bert Rademacher, Zhongmin Shen

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Date Published: September 2010
availability: Available
format: Paperback
isbn: 9780521168731

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About the Authors

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.
- 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
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Product details
- Date Published: September 2010
- format: Paperback
- isbn: 9780521168731
- length: 376 pages
- dimensions: 234 x 156 x 19 mm
- weight: 0.52kg
- 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.
Look Inside
Editors
David Bao, University of Houston
Robert L. Bryant, Duke University, North Carolina
Shiing-Shen Chern, University of California, Berkeley
Zhongmin Shen, Purdue University, Indiana
Series editor Cam Learning use ONLY
Mathematical Sciences Research Institute
Contributors
J. C. Álverez Paiva, A. C. Thompson, Giovanni Bellettini, Tadashi Aikou, Karen Chandler, Pit-Mann Wong, David Bao, Colleen Robles, Hans-Bert Rademacher, Zhongmin Shen