Cover of Lagrange and Finsler Geometry

Book 2010

Lagrange and Finsler Geometry

Publisher
Springer
Language
English
Published
2010
  • Generalized spaces
  • Geometry, differential
  • Differential Geometry
  • Mathematics
  • Global differential geometry
  • Applications of Mathematics

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. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. Audience: This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists.