We provide a qualitative description of curves minimizing the en- ergy 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.
On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics
ANTONACCI, FLAVIA;
2006-01-01
Abstract
We provide a qualitative description of curves minimizing the en- ergy 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.File in questo prodotto:
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