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Einstein-Weyl spaces and SU(∞) Toda fields

✍ Scribed by Ward, R S


Book ID
121226459
Publisher
Institute of Physics
Year
1990
Tongue
English
Weight
323 KB
Volume
7
Category
Article
ISSN
0264-9381

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Einstein metrics, hypercomplex structure
✍ David M.J. Calderbank; Paul Tod 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 73 KB

We obtain explicitly all solutions of the SU(∞) Toda field equation with the property that the associated Einstein-Weyl space admits a 2-sphere of divergence-free shear-free geodesic congruences. The solutions depend on an arbitrary holomorphic function and give rise to new hyperKähler and selfdual