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On the continuity of midpoint hull convex set-valued functions

✍ Scribed by Antonella Fiacca; Francesca Papalini


Publisher
Springer
Year
1994
Tongue
English
Weight
459 KB
Volume
48
Category
Article
ISSN
0001-9054

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On the volume of convex hulls of sets on
✍ RafaΕ‚ LataΕ‚A; Marek Pycia πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 198 KB

We prove that for a measurable subset of S '~-J with fixed Haar measure, the volume of its convex hull is minimized for a cap (i.e. a ball with respect to the geodesic measure). We solve a similar problem for symmetric sets and n = 2, 3. As a consequence, we deduce a result concerning Gaussian measu