Extremal problems for the solid angle
classification
🧮 math.DG
keywords
anglesolidpointcompactextremalplanarproblemssubset
read the original 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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