About Twistor Spinors with Zero in Lorentzian Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
About Twistor Spinors with Zero in Lorentzian Geometry
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| Creator |
Leitner, F.
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| Description |
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.
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| Date |
2019-02-19T17:39:06Z
2019-02-19T17:39:06Z 2009 |
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| Type |
Article
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| Identifier |
About Twistor Spinors with Zero in Lorentzian Geometry / F. Leitner // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 25 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 53C27; 53B30 http://dspace.nbuv.gov.ua/handle/123456789/149142 |
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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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