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math.DG2004
Oriented straight lines and twistor correspondence
Maciej Dunajski
The tangent bundle to the --dimensional sphere is the space of oriented lines in . We characterise the smooth sections of which correspond to points in $…
math.DG1999
Einstein-Weyl structures from Hyper-Kähler metrics with conformal Killing vectors
Maciej Dunajski, Paul Tod
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 struct…