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Einstein--Weyl geometry, dispersionless Hirota equation and Veronese webs | Maciej Dunajski
; Wojciech Krynski
; | Date: |
3 Jan 2013 | Abstract: | We exploit the correspondence between the three-dimensional Lorentzian
Einstein-Weyl geometries of the hyper-CR type, and the Veronese webs to show
that the former structures are locally given in terms of solutions to the
dispersionless Hirota equation. We also demonstrate how to construct hyper-CR
Einstein--Weyl structures by Kodaira deformations of the flat twistor space
$TCP^1$, and how show to recover the pencil of Poisson structures in five
dimensions illustrating the method by an example of the Veronese web on the
Heisenberg group. | Source: | arXiv, 1301.0621 | Services: | Forum | Review | PDF | Favorites |
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