caa a22 4500 463248082 CHVBK 20180405153332.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10455-007-9060-1 doi (NATIONALLICENCE)springer-10.1007/s10455-007-9060-1 Frances Charles Département de Mathématiques, Université Paris-Sud, 91405, Orsay Cedex, France aut Causal conformal vector fields, and singularities of twistor spinors [Elektronische Daten] [Charles Frances] In this paper, we study the geometry around the singularity of a twistor spinor, on a Lorentz manifold (M, g) of dimension greater or equal to three, endowed with a spin structure. Using the dynamical properties of conformal vector fields, we prove that the geometry has to be conformally flat on some open subset of any neighbourhood of the singularity. As a consequence, any analytic Lorentz manifold, admitting a twistor spinor with at least one zero has to be conformally flat. Springer Science + Business Media B.V., 2007 Lorentzian conformal geometry nationallicence Twistor spinors nationallicence Dynamical systems nationallicence Annals of Global Analysis and Geometry Springer Netherlands 32/3(2007-10-01), 277-295 0232-704X 32:3<277 2007 32 10455 https://doi.org/10.1007/s10455-007-9060-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10455-007-9060-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Frances Charles Département de Mathématiques, Université Paris-Sud, 91405, Orsay Cedex, France aut NATIONALLICENCE 773 0- Annals of Global Analysis and Geometry Springer Netherlands 32/3(2007-10-01), 277-295 0232-704X 32:3<277 2007 32 10455 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer