Torsional rigidity for tangential polygons

Abstract

An inequality on torsional rigidity is established. For tangential polygons this inequality is stronger than an inequality of Polya and Szego for convex domains. (A survey of related work, not in the journal submission, is presented in the arXiv version.)

109 pages, 16 figures. (First 2 Parts have been submitted, and accepted subject to minor revision. The supplementary material was motivated by one of the two referees wanting more on the "context" etc.)