Harmonic functions, central quadrics, and twistor theory

Details Harmonic functions, central quadrics, and twistor theory Harmonic functions, central quadrics, and twistor theory

2003-03-14

arxiv.org/abs/math/0303181v2

Class.Quant.Grav. 20 (2003) 3427-3440

Mathematics

Differential Geometry

Final version. To appear in CQG

Scientific paper

10.1088/0264-9381/20/15/311

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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