Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction
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| Creator |
Calderbank, D.M.J.
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| Description |
I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or complex 2-manifold. The 4-manifolds obtained are characterized by the existence of a foliation by selfdual null surfaces of a special kind. The classification by Dunajski and West of selfdual conformal 4-manifolds with a null conformal vector field is the special case in which the gauge group reduces to the group of diffeomorphisms commuting with a vector field, and I analyse the presence of compatible scalar-flat Kähler, hypercomplex and hyperkähler structures from a gauge-theoretic point of view. In an appendix, I discuss the twistor theory of projective surfaces, which is used in the body of the paper, but is also of independent interest.
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| Date |
2019-02-11T16:18:28Z
2019-02-11T16:18:28Z 2014 |
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| Type |
Article
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| Identifier |
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction / D.M.J. Calderbank // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53A30; 32L25; 37K25; 37K65; 53C25; 70S15; 83C20; 83C60 DOI:10.3842/SIGMA.2014.035 http://dspace.nbuv.gov.ua/handle/123456789/146816 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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