Complex structures on tangent and cotangent Lie algebras of dimension six

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dc.creatorStursberg, Rutwig Campoamor
dc.creatorOvando, Gabriela P.
dc.date2008-05-16
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:47:24Z
dc.date.available2026-07-07T12:47:24Z
dc.descriptionThis paper deals with complex structures on Lie algebras $\ct_π \hh=\hh \ltimes_π V$, where $π$ is either the adjoint or the coadjoint representation. The main topic is the existence question of complex structures on $\ct_π \hh$ for $\hh$ a three dimensional real Lie algebra. First it was proposed the study of complex structures $J$ satisfying the constrain $J\hh=V$. Whenever $π$ is the adjoint representation this kind of complex structures are associated to non singular derivations of $\hh$. This fact derives different kind of applications. Finally an approach to the pseudo Kähler geometry was done.
dc.description18 pages, extended and improved version
dc.identifierhttps://arxiv.org/abs/0805.2520
dc.identifierhttp://arxiv.org/abs/0805.2520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221709
dc.subjectDifferential Geometry
dc.subject53C15, 53C55, 22E25.
dc.titleComplex structures on tangent and cotangent Lie algebras of dimension six
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