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Harmonic functions, central quadrics, and twistor theory | Maciej Dunajski
; | Date: |
14 Mar 2003 | Journal: | Class.Quant.Grav. 20 (2003) 3427-3440 | Subject: | Differential Geometry; Exactly Solvable and Integrable Systems MSC-class: 53C26;53C28 | math.DG gr-qc hep-th nlin.SI | 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. | Source: | arXiv, math.DG/0303181 | Services: | Forum | Review | PDF | Favorites |
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