Harmonic functions, central quadrics and twistor theory
Abstract
Solutions to the ndimensional Laplace equation which are constant on a central quadric are found. The associated twistor description of the case n = 3 is used to characterize Gibbons Hawking metrics with triholomorphic SL(2, Bbb C) symmetry.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 August 2003
 DOI:
 10.1088/02649381/20/15/311
 arXiv:
 arXiv:math/0303181
 Bibcode:
 2003CQGra..20.3427D
 Keywords:

 Mathematics  Differential Geometry;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 53C26;
 53C28
 EPrint:
 Final version. To appear in CQG