This volume contains surveys and original articles based on the talks given at the 40th Finsler Symposium on Finsler Geometry, held on September 9-10, 2005 at Hokkaido Tokai University, Sapporo, Japan. The symposium was not only a meeting of the Finsler geometers from Japan and abroad but also a commemoration of the late Professor Makoto Matsumoto. The papers included in this volume contain fundamental topics of modern Riemann-Finsler geometry, interesting for specialists in Finsler geometry as well as researchers in Riemannian geometry or other fields of differential geometry and its applications.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Readership

Graduate students and research mathematicians interested in analysis and geometry.

Table of Contents

• Photos of Makoto Matsumoto
• H. Shimada and S. V. Sabau -- Matsumoto's legacy. The life and work of Professor Makoto Matsumoto

• D. Bao -- On two curvature-driven problems in Riemann-Finsler geometry
• S. Bácsó, X. Cheng, and Z. Shen -- Curvature properties of $(\alpha, \beta)$-metrics
• I. R. Peter -- A connectedness principle in positively curved Finsler manifolds
• S. V. Sabau and H. Shimada -- Riemann-Finsler surfaces
• L. Tamássy -- Finsler geometry in the tangent bundle

• P. L. Antonelli and S. F. Rutz -- Perturbations of constant connection Wagner spaces
• M. Crampin and D. J. Saunders -- Path geometries and almost Grassmann structures
• R. L. Lovas, J. Pék, and J. Szilasi -- Ehresmann connections, metrics and good metric derivatives
• R. Miron -- Dynamical systems of the Lagrangian and Hamiltonian mechanical systems

• T. Aikou -- The Chern-Finsler connection and Finsler-Kähler manifolds
• P.-M. Wong -- A survey of complex Finsler geometry