On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics (Q874389)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics |
scientific article; zbMATH DE number 5140552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics |
scientific article; zbMATH DE number 5140552 |
Statements
On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics (English)
0 references
5 April 2007
0 references
This paper -- motivated by the variational description of refraction phenomena -- improves the results of [\textit{R. Giambó, F. Giannoni}, J. Lond. Math. Soc., II. Ser. 67, No.~2, 527--544 (2003; Zbl 1056.53031)]. It provides a qualitative description of curves minimizing the energy functional on a Riemannian manifold whose metric is discontinuous along a hypersurface \(\Sigma\).
0 references
Riemannian manifolds
0 references
discontinuous metrics
0 references
refraction problems
0 references
minimal geodesics
0 references
