Mathematical Research Letters

Volume 12, Issue 2, March 2005 pp. 265-268.

Holomorphic discs with dense images

Authors: Franc Forstneric and Jörg Winkelmann
Author institution: University of Ljubljana, and Université Henri Poincaré Nancy 1

Summary: 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 $Hol(\Delta,X)$.

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