三维空间中的有界凸域和拟球

Bounded Convex Domains and Quasiballs in Three Space

本文证明了三维空间中的有界凸域是拟球。

In this paper, we proved that the bounded convex domain in three space must be quasiball, and hence the Riemann mapping theorem of quasiconformal mappings is holds in bounded convex domains of three space.