Hyper-Kähler quotients of solvable Lie groups

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dc.creatorBarberis, M. L.
dc.creatorDotti, I.
dc.creatorFino, A.
dc.date2004-11-13
dc.date.accessioned2026-07-07T05:14:18Z
dc.date.available2026-07-07T05:14:18Z
dc.descriptionIn this paper we apply the hyper-Kähler quotient construction to Lie groups with a left invariant hyper-Kähler structure under the action of a closed abelian subgroup by left multiplication. This is motivated by the fact that some known hyper-Kähler metrics can be recovered in this way by considering different Lie group structures on $\H^p \times \H^q$ ($\H$: the quaternions). We obtain new complete hyper-Kähler metrics on Euclidean spaces and give their local expressions.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0411307
dc.identifierhttp://arxiv.org/abs/math/0411307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73226
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C26; 22E25; 53D20
dc.titleHyper-Kähler quotients of solvable Lie groups
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