Harmonic functions, central quadrics and twistor theory
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 characterize Gibbons Hawking metrics with tri-holomorphic SL(2, Bbb C) symmetry.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- August 2003
- DOI:
- 10.1088/0264-9381/20/15/311
- 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
- E-Print:
- Final version. To appear in CQG