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On the volume of the convex hull of two convex bodies

✍ Scribed by Ákos G. Horváth, Zsolt Lángi

Book ID
120918346
Publisher
Springer Vienna
Year
2013
Tongue
English
Weight
318 KB
Volume
174
Category
Article
ISSN
0026-9255

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✍ Rafał LatałA; Marek Pycia 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 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