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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