Maximal Complexifications of Certain Riemannian Homogeneous Manifolds

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dc.creatorHalverscheid, S.
dc.creatorIannuzzi, A.
dc.date2002-06-07
dc.date.accessioned2026-07-07T04:48:57Z
dc.date.available2026-07-07T04:48:57Z
dc.descriptionA 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.
dc.description18 pages, LaTeX-file
dc.identifierhttps://arxiv.org/abs/math/0206071
dc.identifierhttp://arxiv.org/abs/math/0206071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64249
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subject32C09, 53C30, 32M05 (Primary); 32Q28 (Secondary)
dc.titleMaximal Complexifications of Certain Riemannian Homogeneous Manifolds
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