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The dispersive self-dual Einstein equations and the Toda lattice

✍ Scribed by Strachan, I A B


Book ID
120180554
Publisher
Institute of Physics
Year
1996
Tongue
English
Weight
120 KB
Volume
29
Category
Article
ISSN
0305-4470

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Einstein metrics, hypercomplex structure
✍ David M.J. Calderbank; Paul Tod πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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 hyperKÀhler and selfdual