Conformally invariant complete metrics

Toshiyuki Sugawa, Matti Vuorinen, Tanran Zhang

For a domain $G$ in the one-point compactification ${\overline{\mathbb{R}}}^n={\mathbb{R}}^n\cup \{\infty \}$ of ${\mathbb{R}}^n,n\ge 2$, we characterize the completeness of the mod…