Geodesic
Some stability questions concerning caustics for different propagation laws.
Portugaliae mathematica, Tome 51 (1994) no. 4, pp. 595-605.

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Keywords: stable, embedding, Riemannian metric, Finsler metric, positively homogeneous Hamiltonian on the dual tangent space, topological distance, topologically stable, topologically stable focal and cut loci, caustic, stability theorem for the 4-vertex theorem, surfaces of constant negative curvature, stable 
@article{PORMA_1994__51_4_47286,
     author = {Romero Fuster, Maria del Carmen and Ruas, Maria Aparecida Soares},
     title = {Some stability questions concerning caustics for different propagation laws.},
     journal = {Portugaliae mathematica},
     pages = {595--605},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {1994},
     zbl = {0824.57022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1994__51_4_47286/}
}
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Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares. Some stability questions concerning caustics for different propagation laws.. Portugaliae mathematica, Tome 51 (1994) no. 4, pp. 595-605. http://geodesic.mathdoc.fr/item/PORMA_1994__51_4_47286/