On the conformal relation between twistors and Killing spinors. (English) Zbl 0703.53012

Geometry and physics, Proc. 9th Winter Sch., SrnĂ­/Czech. 1989, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 22, 59-75 (1990).
[For the entire collection see Zbl 0699.00032.]
The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension \(n\geq 3\). A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated.
Reviewer: J.D.Zund


53C27 Spin and Spin\({}^c\) geometry


Zbl 0699.00032