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Multi-centre metrics with negative cosmological constant. (English) Zbl 0737.53061
The hyper-Kähler and the quaternionic Kähler quotient constructions are compared. The quotient construction of the multi-Taub-NUT family is described. It is shown that there exist families of self-dual Einstein metrics of negative scalar curvature which are quaternionic analogues of the multi-Taub-NUT metrics.

MSC:
53C55 Global differential geometry of Hermitian and Kählerian manifolds
53C80 Applications of global differential geometry to the sciences
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