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A brief introduction to Finsler geometry

Abstract

Here you can find a a short introduction to Finsler geometry. Special emphasis is put on the Legendre transformation that connects Finsler geometry with symplectic geometry. This work is based on my licentiate thesis.

Acknowledgements

This work is based on my licentiate thesis, Propagation of Gaussian beams using Riemann-Finsler geometry, Helsinki University of technology, 2006, instructed by doctor Kirsi Peltonen and supervised by professor Erkki Somersalo. This work has been funded by the Graduate School Of Applied Electromagnetism and the Institute of Mathematics at the Helsinki University of Technology.

Last modified 26.3.2006 --- Matias Dahl

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