Journal article
Hyper-kähler hierarchies and their twistor theory
- Abstract:
-
A twistor construction of the hierarchy associated with the hyper-Kähler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. The recursion operator R is constructed and used to build an infinite-dimensional symmetry algebra and in particular higher flows for the hyper-Kähler equations. It is shown that R acts on the twistor data by multiplication with a rational function. The structures are illustrated by t...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Communications in Mathematical Physics Journal website
- Volume:
- 213
- Issue:
- 3
- Pages:
- 641-672
- Publication date:
- 2000-10-31
- Acceptance date:
- 2000-03-20
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
Item Description
- Keywords:
- Pubs id:
-
pubs:190410
- UUID:
-
uuid:3b13bf2d-a7d2-4491-bcfd-5eccd7e67612
- Local pid:
- pubs:190410
- Source identifiers:
-
190410
- Deposit date:
- 2019-02-15
Terms of use
- Copyright holder:
- Springer
- Copyright date:
- 2000
- Notes:
- © Springer-Verlag Berlin Heidelberg 2000. This is the author's original version of the article. The final version is available online from Springer at: https://doi.org/10.1007/PL00005532
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