16 citations · 19 across the 6 of their papers we have counts for
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Extending holomorphic mappings from subvarieties in Stein manifolds
Franc Forstneric
Suppose that Y is a complex manifold with the property that any holomorphic map from a compact convex set in a complex Euclidean space C^n (for any n) to Y is a uniform limit of en…
Holomorphic discs with dense images
Franc Forstneric, Joerg Winkelmann
We prove that for any complex manifold X, the set of all holomorphic maps from the unit disc to X whose images are everywhere dense in X forms a dense subset in the space of all ho…
A contractible Levi-flat hypersurface in C^2 which is a determining set for pluriharmonic functions
Franc Forstneric
We construct a real analytic Levi-flat hypersurface M in a neighborhood of an ellipsoid B in C^2 such that the each leaf of the Levi foliation of M is a complex disc, M intersects…
Most real analytic Cauchy-Riemann manifolds are nonalgebraizable
Franc Forstneric
We give a very simple argument to the effect that most germs of generic real analytic Cauchy-Riemann manifolds of positive CR dimension are not holomorphically embeddable into any…
Runge approximation on convex sets implies the Oka property
Franc Forstneric
We prove that the classical Oka property of a complex manifold Y, concerning the existence and homotopy classification of holomorphic mappings from Stein manifolds to Y, is equival…
Holomorphic flexibility properties of complex manifolds
Franc Forstneric
We obtain results on approximation of holomorphic maps by algebraic maps, jet transversality theorems for holomorphic and algebraic maps, and the homotopy principle for holomorphic…