Lagrange and Finsler Geometry: Applications to Physics and Biology

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The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. Subjects treated include higher order Lagrange geometry, the recent theory of O-Lagrange manifolds, electromagnetic theory and neurophysiology.