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Rationally convex sets on the unit sphere in ℂ2

✍ Scribed by John Wermer


Book ID
107382393
Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
225 KB
Volume
46
Category
Article
ISSN
0004-2080

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On the volume of convex hulls of sets on
✍ 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