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Advanced Studies in Pure Mathematics - Vol. 48
FINSLER GEOMETRY, SAPPORO 2005 — IN MEMORY OF MAKOTO MATSUMOTO
edited by Sorin V Sabau & Hideo Shimada (Hokkaido Tokai University, Japan)
The volume contains surveys and original articles based on the talks given at the 40-th Finsler Symposium on Finsler Geometry held in the period September 9–10, 2005 at Hokkaido Tokai University, Sapporo, Japan. The Symposium's purpose was not only a meeting of the Finsler geometers from Japan and abroad, but also to commemorate the memory of the late Professor Makoto Matsumoto. The papers included in this volume contain fundamental topics of modern Riemann–Finsler geometry, interesting not only for specialists in Finsler geometry, but for researchers in Riemannian geometry or other fields of differential geometry and its applications also.
Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Contents:
- Part I. Professor Makoto Matsumoto:
- Photos of Makoto
Matsumoto
- Matsumoto's Legacy. The Life and Work of Professor Makoto Matsumoto (H Shimada & S V Sabau)
- Part II. Hunting Unicorns and Other Topics of Global Finsler Geometry:
- On Two Curvature-Driven Problems in Riemann–Finsler Geometry (D Bao)
- Curvature Properties of (a, b)-metrics (S Bácsó et al.)
- A Connectedness Principle in Positively Curved Finsler Manifolds (I R Peter)
- Riemann–Finsler Surfaces (S V Sabau & H Shimada)
- Finsler Geometry in the Tangent Bundle (L Tamássy)
- Part III. Finslerian Inspired Differential Geometry:
- Perturbations of Constant Connection Wagner Spaces (P L Antonelli & S F Rutz)
- Path Geometries and Almost Grassmann Structures (M Crampuin & D J Sauders)
- Ehresmann Connections, Metrics and Good Metric Derivatives (R L Lovas et al.)
- Dynamical Systems of the Lagrangian and Hamiltonian Mechanical Systems (R Miron)
- Part IV. Complex Finsler Geometry:
- The Chern–Finsler Connection and Finsler–Kähler Manifolds (T Aikou)
- A Survey of Complex Finsler Geometry (P-M Wong)
Readership: Graduate students and researchers interested in pure and applied
mathematics and physics, all those interested in generalizations and extensions of classical Riemannian geometry.
| 433pp |
Pub. date: Nov 2007 |
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