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Displaying similar documents to “Some geometric aspects of the calculus of variations in several independent variables”

Homogeneous variational problems: a minicourse

David J. Saunders (2011)

Communications in Mathematics

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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.