2011/08/30 by D. J. Saunders, Saunders, D. J.
Mathematics · #35A15 #58A10 #58A20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:35A15 #msc:58A10 #msc:58A20
paper · pdf · doi:10.48550/arxiv.1108.6004
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
arxiv created 2011/08/30 · arxiv updated 2011/08/31
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.