2002/06/07 by S. Halverscheid, Halverscheid, S., A. Iannuzzi +2 · 1 citation
Mathematics · #32C09 #32M05 (Primary) #32Q28 (Secondary) #53C30 #Advanced Algebra and Geometry #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Group Theory (math.GR) #math.CV #math.DG #math.GR #msc:32C09 #msc:32M05 #msc:32Q28 #msc:53C30
paper · pdf · doi:10.48550/arxiv.math/0206071
18 pages, LaTeX-file
arxiv created 2002/06/07 · openalex publication_date 2002/06/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A characterization of maximal domains of existence of adapted complex structures for Riemannian homogeneous manifolds under certain extensibility assumptions on their geodesic flow is given. This is applied to generalized Heisenberg groups and naturally reductive Riemannian homogeneous spaces. As an application it is shown that the case of generalized Heisenberg groups yields examples of maximal domains of definition for the adapted complex structure which are are neither holomorphically separable, nor holomorphically convex.