Density of specific Strebel points and its consequences (Q977300)

A Strebel point is an equivalence class of quasiconformal mappings satisfying the frame mapping condition of \textit{K. Strebel} [J. Anal. Math. 30, 464--480 (1976; Zbl 0334.30013)]. It is well known that Strebel points are dense in Teichmüller spaces. The article under review continues the author's work in Grunsky coefficients and their application to Teichmüller theory. The main result is to show that the Strebel points are dense in \(G_e\), the set of normalized univalent functions in \(\{z \in \mathbb{C}: | z | >1\}\) for which the Grunsky and Teichmüller norms coincide. Note that the set \(G_e\) is itself nowhere dense in the universal Teichmüller space, a result of the author and \textit{R. Kühnau} [Isr. J. Math. 152, 49--59 (2006; Zbl 1126.30013)]. Several corollaries and applications of the main result are proved in this well-written paper.