A Note on Starshaped Sets
Publications de l'Institut Mathématique, _N_S_29 (1981) no. 43, p. 283
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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
Keywords: the smallest Lipschitz constant, the upper outer surface area in the sense of Minkowski
@article{PIM_1981_N_S_29_43_a30,
author = {Sini\v{s}a Vre\'cica},
title = {A {Note} on {Starshaped} {Sets}},
journal = {Publications de l'Institut Math\'ematique},
pages = {283 },
year = {1981},
volume = {_N_S_29},
number = {43},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1981_N_S_29_43_a30/}
}
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/