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Harmonic functions, central quadrics, and twistor theory

Maciej Dunajski
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Abstract

Solutions to the $n$-dimensional Laplace equation which are constant on a central quadric are found. The associated twistor description of the case $n=3$ is used to characterise Gibbons-Hawking metrics with tri-holomorphic $SL(2, \C)$ symmetry.

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Maciej Dunajski. 2003-06-27. Harmonic functions, central quadrics, and twistor theory. https://doi.org/10.1088/0264-9381%2F20%2F15%2F311

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