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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.

1 vote
1 answer
1k views

Are geodesics locally minimizing in continuous curves?

In every lecture on Riemannian geometry it is standard to prove that geodesic curves are locally length minimizing. The only thing I find confusing about this is, that here length minimizing means: co …
Sebastian Scholtes's user avatar