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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spelling paper:paper_02649381_v29_n6_p_Barberis2025-07-30T18:01:40Z The Killing-Yano equation on Lie groups Santillán, Osvaldo Pablo 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. Fil:Santillán, O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 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
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Santillán, Osvaldo Pablo
spellingShingle Santillán, Osvaldo Pablo
The Killing-Yano equation on Lie groups
author_facet Santillán, Osvaldo Pablo
author_sort Santillán, Osvaldo Pablo
title The Killing-Yano equation on Lie groups
title_short The Killing-Yano equation on Lie groups
title_full The Killing-Yano equation on Lie groups
title_fullStr The Killing-Yano equation on Lie groups
title_full_unstemmed The Killing-Yano equation on Lie groups
title_sort killing-yano equation on lie groups
publishDate 2012
url 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
work_keys_str_mv AT santillanosvaldopablo thekillingyanoequationonliegroups
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