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Hyper-Kähler quotients of solvable Lie groups | | M. L. Barberis
; I. Dotti
; A. Fino
; | | Date: |
13 Nov 2004 | | Subject: | Differential Geometry; Mathematical Physics MSC-class: 53C26; 22E25; 53D20 | math.DG math-ph math.MP | | Abstract: | In 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 $H^p imes H^q$ ($H$: the quaternions). We obtain new complete hyper-Kähler metrics on Euclidean spaces and give their local expressions. | | Source: | arXiv, math.DG/0411307 | | Services: | Forum | Review | PDF | Favorites | |
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