Riemann surfaces in Stein manifolds with the Density property
Copyright policy )Riemann surfaces in Stein manifolds with the Density property
We show that any open Riemann surface can be properly immersed in any Stein manifold with the (Volume) Density property and of dimension at least 2. If the dimension is at least 3, we can actually choose this immersion to be an embedding. As an application, we show that Stein manifolds with the (Volume) Density property and of dimension at least 3, are characterized among all other complex manifolds by their semigroup of holomorphic endomorphisms.
- University of Oslo Norway
Semigroups of transformations, relations, partitions, etc., Stein manifold, Riemann surface, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Andersen-Lempert theory, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs, density property, volume density property, 510, proper holomorphic map
Semigroups of transformations, relations, partitions, etc., Stein manifold, Riemann surface, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Andersen-Lempert theory, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs, density property, volume density property, 510, proper holomorphic map
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).15 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!