Brody quotients of homogeneous Stein manifolds

Author: Stratmann Bernd  

Publisher: Springer Publishing Company

ISSN: 0025-5831

Source: Mathematische Annalen, Vol.329, Iss.2, 2004-06, pp. : 307-313

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Abstract

Homogeneous Stein manifolds admit a complex equivariant quotient with respect to Brody hyperbolicity. As a consequence, simply connected Stein manifolds homogeneous by a solvable Lie group split into a product of a bounded homogenous Stein domain and a complex cell.