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
Part I. Professor Makoto Matsumoto: Photos of Makoto Matsumoto Matsumoto's legacy. The life and work of Professor Makoto Matsumoto by H. Shimada and S. V. Sabau Part II. Hunting Unicorns and Other Topics of Global Finsler Geometry: On two curvature-driven problems in Riemann-Finsler geometry by D. Bao Curvature properties of $(\alpha, \beta)$-metrics by S. Bacso, X. Cheng, and Z. Shen A connectedness principle in positively curved Finsler manifolds by I. R. Peter Riemann-Finsler surfaces by S. V. Sabau and H. Shimada Finsler geometry in the tangent bundle by L. Tamassy Part III. Finslerian Inspired Differential Geometry: Perturbations of constant connection Wagner spaces by P. L. Antonelli and S. F. Rutz Path geometries and almost Grassmann structures by M. Crampin and D. J. Saunders Ehresmann connections, metrics and good metric derivatives by R. L. Lovas, J. Pek, and J. Szilasi Dynamical systems of the Lagrangian and Hamiltonian mechanical systems by R. Miron Part IV. Complex Finsler Geometry: The Chern-Finsler connection and Finsler-Kahler manifolds by T. Aikou A survey of complex Finsler geometry by P.-M. Wong.
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