Geodesic
Illumination from within of the boundary of a convex body
Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 87-94 
V. G. Boltyanskii; P. S. Soltan. Illumination from within of the boundary of a convex body. Sbornik. Mathematics, Tome 16 (1972) no. 1, pp. 87-94. http://geodesic.mathdoc.fr/item/SM_1972_16_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the following question is answered: Under what conditions is the boundary of an unbounded convex body illuminated from within by some set of light sources? Bibliography: 4 titles.

[1] N. Burbaki, Topologicheskie vektornye prostranstva, IL, Moskva, 1959

[2] B. Grünbaum, “Fixing systems and inner illumination”, Acta Math. Acad. Sci. Hung., 15 (1964), 161–163 | DOI | MR | Zbl

[3] L. Dantser, B. Gryunbaum, V. Kli, Teorema Khelli, Mir, Moskva, 1968

[4] P. S. Soltan, “Ob osveschenii granitsy vypuklogo tela iznutri”, Matem. sb., 57(99) (1962), 443–448 | MR | Zbl