A Note on Starshaped Sets
Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 283 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We find the smallest Lipschitz constant for the radial projection of the unit sphere on the boundary of a compact star-shaped set containing the origin in the interior of its convex kernel. We also find the least upper bound of the upper outer surface area in the sense of Minkowski of the boundary of a compact star-shaped set contained in the unit ball and containing a concentric ball of radius a $(0
Classification : 52A30
Keywords: the smallest Lipschitz constant, the upper outer surface area in the sense of Minkowski
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     author = {Sini\v{s}a Vre\'cica},
     title = {A {Note} on {Starshaped} {Sets}},
     journal = {Publications de l'Institut Math\'ematique},
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Siniša Vrećica. A Note on Starshaped Sets. Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 283 . http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a30/