Complex product structures on some simple Lie groups

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dc.creatorIvanov, Stefan
dc.creatorTsanov, Vasil
dc.date2004-05-31
dc.date2004-06-14
dc.date.accessioned2026-07-07T05:08:44Z
dc.date.available2026-07-07T05:08:44Z
dc.descriptionWe construct invariant complex product (hyperparacomplex, indefinite quaternion) structures on the manifolds underlying the real noncompact simple Lie groups $SL(2m-1,\RR)$, $SU(m,m-1)$ and $SL(2m-1,\CC)^\RR$. We show that on the last two series of groups some of these structures are compatible with the biinvariant Killing metric. Thus we also provide a class of examples of compact (neutral) hyperparahermitean, non-flat Einstein manifolds.
dc.descriptionlatex, 7 pages
dc.identifierhttps://arxiv.org/abs/math/0405584
dc.identifierhttp://arxiv.org/abs/math/0405584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71386
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C15
dc.titleComplex product structures on some simple Lie groups
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