Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898995 | Journal of Geometry and Physics | 2006 | 21 Pages |
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 HpÃHq (H: the quaternions). We obtain new complete hyper-Kähler metrics on Euclidean spaces and give their local expressions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
M.L. Barberis, I. Dotti, A. Fino,