A Sampler of Riemann-Finsler Geometry
David Bao, Robert Bryant, Shiing-Shen Chern, Zhongmin Shen - Collection Mathematical Sciences Research Institute Publications
Résumé
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 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 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
L'auteur - Robert Bryant
Robert Bryant is Studio Director at videogame publisher Crave Entertainment, where he has also served as QA Manager and Executive Producer of such games as World Championship Poker and Tokyo Xtreme Racer 3. He began his games career in the interactive division of Mattel, Inc., where he was lead tester on dozens of projects. He is a frequent speaker on the subjects of game testing methods and management.
Sommaire
- Preface
- Synopses
- Volumes on normed and Finsler spaces
- Anisotropic and crystalline mean curvature flow
- Finsler geometry on complex vector bundles
- Finsler geometry of holomorphic jet bundles
- Ricci and flag curvatures in Finsler geometry
- Nonreversible Finsler metrics of positive flag curvature
- Landsberg curvature, S-curvature and Riemann curvature
- Index
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Cambridge University Press |
Auteur(s) | David Bao, Robert Bryant, Shiing-Shen Chern, Zhongmin Shen |
Collection | Mathematical Sciences Research Institute Publications |
Parution | 13/01/2005 |
Nb. de pages | 362 |
Format | 16 x 24 |
Couverture | Relié |
Poids | 662g |
Intérieur | Noir et Blanc |
EAN13 | 9780521831819 |
ISBN13 | 978-0-521-83181-9 |
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