Let 1W, g) be a spin manifold of dimension n. In terms of the Dirac operator P of (W, g), we introduce on the spinor fields a conformally covariant first-order operator D that is strictly connected with the twisror-spinors. We show that the operator (L~-p) (p (n/4(n .-1))R) is positive. For a compac
✦ LIBER ✦
Extrinsic Killing spinors
✍ Scribed by Oussama Hijazi; Sebastián Montiel
- Publisher
- Springer-Verlag
- Year
- 2003
- Tongue
- French
- Weight
- 147 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0025-5874
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A supermanifold M is canonically associated to any pseudo-Riemannian spin manifold (Ma, go). Extending the metric go to a field g of bilinear forms g(p) on TpM, p E MO, the pseudo-Riemannian supergeometry of (M, g) is formulated as G-structure on M, where G is a supergroup with even part Go 2 Spin(k