Doubly Extended Lie Groups - Curvature, Holonomy and Parallel Spinors

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dc.creatorBaum, Helga
dc.creatorKath, Ines
dc.date2002-03-19
dc.date2002-06-21
dc.date.accessioned2026-07-07T04:47:09Z
dc.date.available2026-07-07T04:47:09Z
dc.description(This is a revised version of the paper) - In the present paper we study the geometry of doubly extended Lie groups with their natural biinvariant metric. We describe the curvature, the holonomy and the space of parallel spinors. This is completely done for all simply connected groups with biinvariantmetric of Lorentzian signature $(1,n-1)$, of signature $(2,n-2)$ and of signature $(p,q)$, where $p+q\leq 6$. Furthermore, some special series with higher signature are discussed.
dc.descriptionLatex2e, 30 pages
dc.identifierhttps://arxiv.org/abs/math/0203189
dc.identifierhttp://arxiv.org/abs/math/0203189
dc.identifierDiffer.Geom.Appl. 19 (2003) 253-280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63600
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C30, 53C27, 53C29, 53C50, Secondary 22E15
dc.titleDoubly Extended Lie Groups - Curvature, Holonomy and Parallel Spinors
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