Homogeneous variational problems: a minicourse

Details Homogeneous variational problems: a minicourse Homogeneous variational problems: a minicourse

2011-08-30

arxiv.org/abs/1108.6004v1

Mathematics

Differential Geometry

This paper is a written-up version of the major part of a minicourse given at the sixth Bilateral Workshop on Differential Geo

Scientific paper

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 $m$. In this minicourse we discuss these problems
from a geometric point of view.

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