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Compact conformally Kähler Einstein-Weyl manifolds

✍ Scribed by Jelonek, Włodzimierz


Book ID
120297745
Publisher
Springer
Year
2012
Tongue
English
Weight
189 KB
Volume
43
Category
Article
ISSN
0232-704X

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Einstein–Weyl structures from hyper–Kähl
✍ Maciej Dunajski; Paul Tod 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 120 KB

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