14 papers
The Oka principle for holomorphic fibre bundles of Holder-Zygmund classes on strongly pseudoconvex domains
Franc Forstneric
Let \(\overline Ω\) be a compact strongly pseudoconvex domain with smooth boundary in a Stein manifold, and let \(h:Z\to \overline Ω\) be a fibre bundle of Hölder-Zygmund class…
Runge and Mergelyan theorems on families of open Riemann surfaces
Franc Forstneric
Given a smooth open oriented surface \(X\), endowed with a family of complex structures \(\{J_b\}_{b\in B}\) of some Hölder class and depending continuously or smoothly on the par…
Families of proper minimal surfaces
Antonio Alarcon, Franc Forstneric
Assume that is a connected, open, oriented smooth surface, is a compact Euclidean neighbourhood retract, and is a continuous family of comple…
On an extremal problem for harmonic maps conformal at a point
Franc Forstneric, David Kalaj
Let \(\mathbb D\) denote the unit disc in \(\mathbb C\). For a domain \(D\subset\mathbb C\) and a point \(p\in D\), let \(M_D(p)\) denote the supremum of \(\|df_0\|\) over all harm…
Every projective Oka manifold is elliptic
Franc Forstneric, Finnur Larusson
We show that every projective Oka manifold is elliptic in the sense of Gromov. This gives an affirmative answer to a long-standing open question.
The universal family of punctured Riemann surfaces is Stein
Franc Forstneric
We show that the universal Teichmüller family of n-punctured compact Riemann surfaces of genus g is a Stein manifold for any n>0. We describe its basic function theoretic properti…