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dc.contributor.author |
Leitner, F. |
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dc.date.accessioned |
2019-02-19T17:39:06Z |
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dc.date.available |
2019-02-19T17:39:06Z |
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dc.date.issued |
2009 |
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dc.identifier.citation |
About Twistor Spinors with Zero in Lorentzian Geometry / F. Leitner // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 25 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2000 Mathematics Subject Classification: 53C27; 53B30 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/149142 |
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dc.description.abstract |
We describe the local conformal geometry of a Lorentzian spin manifold (M,g) admitting a twistor spinor φ with zero. Moreover, we describe the shape of the zero set of φ. If φ has isolated zeros then the metric g is locally conformally equivalent to a static monopole. In the other case the zero set consists of null geodesic(s) and g is locally conformally equivalent to a Brinkmann metric. Our arguments utilise tractor calculus in an essential way. The Dirac current of φ, which is a conformal Killing vector field, plays an important role for our discussion as well. |
uk_UA |
dc.description.sponsorship |
This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
About Twistor Spinors with Zero in Lorentzian Geometry |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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