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| Main Author: | |
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| Format: | Preprint |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1503.03364 |
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Table of Contents:
- Let $C_θ$ be a circular cone in Euclidean space $\mathbb{R}^{3}$,which apex is the origin and apex angle of the cone is $θ\in \left(π/3, π\right)$. Let $M_θ$ be the class of compact convex domains in Euclidean space $\mathbb{R}^{3}$, which have diameter one, contains the origin and are included in $C_θ$. In this paper, we show that there is a unique compact convex domain with maximal volume and also we determine the shape of the above domain.