The Twisted Photon Associated to Hyper-Hermitian Four-Manifolds
Dunajski, Maciej
arXiv, 9808137 / Harvested from arXiv
Text on arXiv
The Lax formulation of the hyper-Hermiticity condition in four dimensions is used to derive a potential that generalises Plebanski's second heavenly equation for hyper-Kahler 4-manifolds. A class of examples of hyper-Hermitian metrics which depend on two arbitrary functions of two complex variables is given. The twistor theory of four-dimensional hyper-Hermitian manifolds is formulated as a combination of the Nonlinear Graviton Construction with the Ward transform for anti-self-dual Maxwell fields.
Publié le : 1998-08-31
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  53B35, 53C55 
@article{9808137,
     author = {Dunajski, Maciej},
     title = {The Twisted Photon Associated to Hyper-Hermitian Four-Manifolds},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9808137}
}

Dunajski, Maciej. The Twisted Photon Associated to Hyper-Hermitian Four-Manifolds. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9808137/