Geodesic
Homogeneous variational problems: a minicourse
Communications in Mathematics, Tome 19 (2011) no. 2, pp. 91-128.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 35A15, 58A10, 58A20
Keywords: calculus of variations; parametric problems 
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     author = {Saunders, David J.},
     title = {Homogeneous variational problems: a minicourse},
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     pages = {91--128},
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     url = {http://geodesic.mathdoc.fr/item/COMIM_2011__19_2_a1/}
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Saunders, David J. Homogeneous variational problems: a minicourse. Communications in Mathematics, Tome 19 (2011) no. 2, pp. 91-128. http://geodesic.mathdoc.fr/item/COMIM_2011__19_2_a1/