Homogeneous variational problems: a minicourse

preprint2011arXivOpen access

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

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