| dc.identifier.uri | http://hdl.handle.net/1951/59780 | |
| dc.identifier.uri | http://hdl.handle.net/11401/71337 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | We consider a hyperk? hler 4n-manifold M. Using local holomorphic Darboux coordinates with respect to a compatible complex structure I on M, we find local necessary and sufficient conditions for a real smooth vector field X on M to be quaternionic Killing. We then apply this result to the case of a hyperk? hler manifold M admitting n commuting quaternionic Killing fields, X^1,..., X^n, the first n-1 of which are further assumed to be triholomorphic and quaternionically linearly independent pointwise. We then have two cases: if the self-dual part of DX^n vanishes, we get back the Hitchin-Karlhede-Lindstr??m-Roček result, and if the self-dual part of DX^n is non-zero, we obtain a partial generalization of the Boyer and Finley equation. | |
| dcterms.available | 2013-05-22T17:35:12Z | |
| dcterms.available | 2015-04-24T14:47:05Z | |
| dcterms.contributor | LeBrun, Claude | en_US |
| dcterms.creator | Malkoun, Joseph | |
| dcterms.dateAccepted | 2013-05-22T17:35:12Z | |
| dcterms.dateAccepted | 2015-04-24T14:47:05Z | |
| dcterms.dateSubmitted | 2013-05-22T17:35:12Z | |
| dcterms.dateSubmitted | 2015-04-24T14:47:05Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.extent | 79 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | Malkoun_grad.sunysb_0771E_10833 | en_US |
| dcterms.identifier | http://hdl.handle.net/1951/59780 | |
| dcterms.identifier | http://hdl.handle.net/11401/71337 | |
| dcterms.issued | 2012-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2013-05-22T17:35:12Z (GMT). No. of bitstreams: 1
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Previous issue date: 1 | en |
| dcterms.provenance | Made available in DSpace on 2015-04-24T14:47:05Z (GMT). No. of bitstreams: 3
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Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.subject | Differential Geometry, Hyperkahler, Symmetry | |
| dcterms.title | Hyperkahler 4n-Manifolds with n Commuting Quaternionic Killing Fields | |
| dcterms.type | Dissertation | |
