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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.

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