Includes bibliographical references.

Preface for "Finsler geometry over the reals" / D. Bao, S. S. Chern and Z. Shen -- On the Gauss-Bonnet integrand for $4$-dimensional Landsberg spaces / David Bao, S. S. Chern and Z. Shen -- Finsler structures on the $2$-sphere satisfying $K=1$ / Robert L. Bryant -- Integral geometry in Minkowski spaces / G. D. Chakerian -- Riemannian geometry as a special case of Finsler geometry / Shiing-shen Chern -- Dirac operators for Finsler spaces / Francis J. Flaherty -- Special eigenforms on the sphere bundle of a Finsler manifold / David Bao and Brad Lackey -- Remarks on Berwald and Landsberg spaces / Makoto Matsumoto -- Finsler manifolds of constant positive curvature / Zhongmin Shen -- Preface for "Complex Finsler geometry" / M. Abate, T. Aikou and G. Patrizio -- Finsler metrics of constant curvature and the characterization of tube domains / Marco Abate and Giorgio Patrizio -- Some remarks on locally conformal complex Berwald spaces / Tadashi Aikou -- Variations of holomorphic curvature for K�ahler Finsler metrics / John Bland and Morris Kalka -- The equivalence problem for complex Finsler Hamiltonians / James J. Faran, V -- Complex Finsler vector bundles / Shoshichi Kobayashi -- Preface for "Generalized Finsler metrics" / Mihai Anastasiei and Radu Miron -- Certain generalizations of Finsler metrics / Mihai Anastasiei -- A historical remark on the connections of Chern and Rund / Mihai Anastasiei -- On Landsberg spaces and holonomy of Finsler manifolds / L. Kozma -- Some problems in the geometries of Finsler type / Radu Miron -- Preface for "Applications of Finsler differential geometry to biology, engineering, and physics" / P. L. Antonelli -- On $y$-Berwald spaces of dimension two and associated heterochronic systems with Finslerian noise / P. L. Antonelli, M. Matsumoto and T. J. Zastawniak -- On physical applications of Finsler geometry / Roman S. Ingarden -- Preface for "Applications of Finsler geometry to control theory" / Robert B. Gardner and George R. Wilkens -- A pseudo-group isomorphism between control systems and certain generalized Finsler structures / Robert B. Gardner and George R. Wilkens -- Finsler geometry in low-dimensional control theory / George R. Wilkens -- Preface for "Applications of Finsler geometry to relativistic field theory" / R. G. Beil -- Finsler geometry and a unified field theory / R. G. Beil -- Finslerian spacetime / Howard E. Brandt -- Symmetry in Finsler spaces / Solange F. Rutz -- Elementary geometries underlying the theory of Euclidean connections on Finsler metrics of Lorentzian signature / Jose G. Vargas and Douglas G. Torr --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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