About Twistor Spinors with Zero in Lorentzian Geometry

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2009
• 1. Verfasser: Leitner, F.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2009
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/149142
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: About Twistor Spinors with Zero in Lorentzian Geometry / F. Leitner // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 25 назв. — англ.

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...