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arXiv · 1103.1727

Extremal problems for the solid angle

Shigehiro Sakata
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Abstract

We consider the solid angle that a planar compact subset subtends at a point in a level set of height h and study two extremal problems for the solid angle. One of the variables is a point in such a plane, that is, we study the properties of the solid angle maximizer. The other is the pair of a planar compact subset and a point.

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Shigehiro Sakata. 2011-06-21. Extremal problems for the solid angle. https://arxiv.org/abs/1103.1727

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