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Homogeneous variational problems: a minicourse. (English) Zbl 1257.58012
Author’s 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 \(m\). In this minicourse, we discuss these problems from a geometric point of view.

58E30 Variational principles in infinite-dimensional spaces
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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