|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Einstein-Weyl structures from Hyper-Kähler metrics with conformal Killing vectors | | Maciej Dunajski
; Paul Tod
; | | Date: |
23 Jul 1999 | | Journal: | Differ.Geom.Appl. 14 (2001) 39-55 | | Subject: | Differential Geometry; Exactly Solvable and Integrable Systems MSC-class: 52B35, 53C55 | math.DG gr-qc nlin.SI solv-int | | Abstract: | We consider four (real or complex) dimensional hyper-Kähler metrics with a conformal symmetry K. The three-dimensional space of orbits of K is shown to have an Einstein-Weyl structure which admits a shear-free geodesics congruence for which the twist is a constant multiple of the divergence. In this case the Einstein-Weyl equations reduce down to a single second order PDE for one function. The Lax representation, Lie point symmetries, hidden symmetries and the recursion operator associated with this PDE are found, and some group invariant solutions are considered. | | Source: | arXiv, math.DG/9907146 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER