Harmonic morphisms from the classical non-compact semisimple Lie groups

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dc.creatorGudmundsson, Sigmundur
dc.creatorSakovich, Anna
dc.date2007-01-18
dc.date2007-03-13
dc.date.accessioned2026-07-07T07:51:22Z
dc.date.available2026-07-07T07:51:22Z
dc.descriptionWe construct the first known complex valued harmonic morphisms from the non-compact Lie groups SL(n,R), SU*(2n) and Sp(n,R) equipped with their standard Riemannian metrics. We then introduce the notion of a bi-eigenfamily and employ this to construct the first known solutions on the non-compact Riemannian SO*(2n), SO(p,q), SU(p,q) and Sp(p,q). Applying a duality principle we then show how to manufacture the first known complex valued harmonic morphisms from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with semi-Riemannian metrics.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0701520
dc.identifierhttp://arxiv.org/abs/math/0701520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125490
dc.subjectDifferential Geometry
dc.subject58E20, 53C43, 53C12
dc.titleHarmonic morphisms from the classical non-compact semisimple Lie groups
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