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A construction of hyper—Kähler metrics

✍ Scribed by S. G. Gindikin


Publisher
Springer US
Year
1986
Tongue
English
Weight
244 KB
Volume
20
Category
Article
ISSN
0016-2663

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Einstein–Weyl structures from hyper–Kähl
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We consider four (real or complex) dimensional hyper-Kähler metrics with a conformal symmetry K . The three-dimensional space of orbits of K is shown to have an Einstein-Weyl structure which admits a shear-free geodesics congruence for which the twist is a constant multiple of the divergence. In thi