W. Kuhnel et Hb. Rademacher, TWISTOR SPINORS WITH ZEROS AND CONFORMAL FLATNESS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(3), 1994, pp. 237-240
We announce the following result: A Riemannian spin manifold of dimens
ion n greater-than-or-equal-to 4 carrying a non-trivial twistor spinor
with a zero, and with a non-trivial associated conformal vector field
, is conformally flat.