Article Contents
Article Contents

# On the Euler equation for minimal geodesics on Riemannian manifoldshaving discontinuous metrics

• We provide a qualitative description of curves minimizing the energy functional on a Riemannian manifold whose metric is discontinuous along a hypersurface $\Sigma$. Such a study is motivated by the variational description of refraction phenomena.
Mathematics Subject Classification: Primary: 58E10; Secondary: 53C22.

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