Mathematical Research Letters

Volume 12 (2005)

Number 2

Holomorphic discs with dense images

Pages: 265 – 268



Franc Forstneric (University of Ljubljana)

Jörg Winkelmann (Université Henri Poincaré Nancy 1)


Let $\Delta$ be the open unit disc in $\C$, $X$ a connected complex manifold and $\mathcal D$ the set of all holomorphic maps $f \colon \Delta\to X$ with $\overline{f(\Delta)}=X$. We prove that $\mathcal D$ is dense in $Hol(\Delta,X)$.

Published 1 January 2005