Extremal problems for the solid angle
Differential Geometry
2011-06-22 v2
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.
Cite
@article{arxiv.1103.1727,
title = {Extremal problems for the solid angle},
author = {Shigehiro Sakata},
journal= {arXiv preprint arXiv:1103.1727},
year = {2011}
}
Comments
11 pages, 4 figures