A family of adapted complexifications for noncompact semisimple Lie groups

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dc.creatorHalverscheid, S.
dc.creatorIannuzzi, A.
dc.date2005-03-18
dc.date2009-05-04
dc.date.accessioned2026-07-07T13:11:04Z
dc.date.available2026-07-07T13:11:04Z
dc.descriptionThe maximal complexifications adapted to the Levi Civita connection for a distinguished one-parameter family of left-invariant metrics on a real semisimple Lie group G are determined. For G = SL(2,R) their realizations as invariant Riemann domains into SL(2,C) are carried out and their complex-geometric properties are investigated.
dc.description34 pages, 6 figures. v2: statement of Prop. 5.4 has changed, minor corrections. v3: revised version, appendix added
dc.identifierhttps://arxiv.org/abs/math/0503377
dc.identifierhttp://arxiv.org/abs/math/0503377
dc.identifierAnn. Scuola Norm. Sup. Pisa Cl. Sci. (5), Vol VIII (2009), 17-49
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229173
dc.subjectComplex Variables
dc.subject53C30; 53C30; 32C09; 32Q99; 32M05
dc.titleA family of adapted complexifications for noncompact semisimple Lie groups
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