The Killing-Yano equation on Lie groups

In this paper we study 2-forms which are solutions of the Killing-Yano equation on Lie groups endowed with a left invariant metric having various curvature properties. We prove a general result for 2-step nilpotent Lie groups and as a corollary we obtain a nondegenerate solution of the Killing-Yano...

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Autor principal: Santillán, Osvaldo Pablo
Publicado: 2012
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v29_n6_p_Barberis
http://hdl.handle.net/20.500.12110/paper_02649381_v29_n6_p_Barberis
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Sumario:In this paper we study 2-forms which are solutions of the Killing-Yano equation on Lie groups endowed with a left invariant metric having various curvature properties. We prove a general result for 2-step nilpotent Lie groups and as a corollary we obtain a nondegenerate solution of the Killing-Yano equation on the Iwasawa manifold with its half-flat metric. © 2012 IOP Publishing Ltd.