Harmonic morphisms from the classical compact semisimple Lie groups

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dc.creatorGudmundsson, Sigmundur
dc.creatorSakovich, Anna
dc.date2006-11-19
dc.date2007-01-19
dc.date.accessioned2026-07-07T07:41:42Z
dc.date.available2026-07-07T07:41:42Z
dc.descriptionIn this paper we introduce a new method for manufacturing harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with their standard Riemannian metrics. We develop a duality principle and show how this can be used to construct the first known examples of harmonic morphisms from the non-compact Lie groups SL(n,R), SU(2n), Sp(n,R), SO(2n), SO(p,q), SU(p,q) and Sp(p,q) equipped with their standard dual semi-Riemannian metrics.
dc.description14 pages; minor changes
dc.identifierhttps://arxiv.org/abs/math/0611574
dc.identifierhttp://arxiv.org/abs/math/0611574
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122207
dc.subjectDifferential Geometry
dc.subject58E20, 53C43, 53C12
dc.titleHarmonic morphisms from the classical compact semisimple Lie groups
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