Homogeneous variational problems: a minicourse
Differential Geometry
2011-08-31 v1
Abstract
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension . In this minicourse we discuss these problems from a geometric point of view.
Cite
@article{arxiv.1108.6004,
title = {Homogeneous variational problems: a minicourse},
author = {D. J. Saunders},
journal= {arXiv preprint arXiv:1108.6004},
year = {2011}
}
Comments
This paper is a written-up version of the major part of a minicourse given at the sixth Bilateral Workshop on Differential Geometry and its Applications, held in Ostrava in May 2011