Complex product structures on 6-dimensional nilpotent Lie algebras

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dc.creatorAndrada, Adrian
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:29:26Z
dc.date.available2026-07-07T07:29:26Z
dc.descriptionWe study complex product structures on nilpotent Lie algebras, establishing some of their main properties, and then we restrict ourselves to 6 dimensions, obtaining the classification of 6-dimensional nilpotent Lie algebras admitting such structures. We prove that any complex structure which forms part of a complex product structure on a 6-dimensional nilpotent Lie algebra must be nilpotent in the sense of Cordero-Fernández-Gray-Ugarte. A study is made of the torsion-free connection associated to the complex product structure and we consider also the associated hypercomplex structures on the 12-dimensional nilpotent Lie algebras obtained by complexification.
dc.description24 pages, to appear in Forum Math
dc.identifierhttps://arxiv.org/abs/math/0610768
dc.identifierhttp://arxiv.org/abs/math/0610768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118107
dc.subjectDifferential Geometry
dc.subject17B60; 53C15, 53C30
dc.titleComplex product structures on 6-dimensional nilpotent Lie algebras
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