Harmonic functions, central quadrics, and twistor theory
Differential Geometry
2009-11-10 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
Solutions to the -dimensional Laplace equation which are constant on a central quadric are found. The associated twistor description of the case is used to characterise Gibbons-Hawking metrics with tri-holomorphic symmetry.
Cite
@article{arxiv.math/0303181,
title = {Harmonic functions, central quadrics, and twistor theory},
author = {Maciej Dunajski},
journal= {arXiv preprint arXiv:math/0303181},
year = {2009}
}
Comments
Final version. To appear in CQG