✦ LIBER ✦

Skew Killing spinors

✍ Scribed by Georges Habib; Julien Roth

Book ID: 115063577
Publisher: SP Versita
Year: 2012
Tongue: English
Weight: 860 KB
Volume: 10
Category: Article
ISSN: 1895-1074
DOI: 10.2478/s11533-012-0029-3

No coin nor oath required. For personal study only.

✦ Synopsis

We study the existence of a skew Killing spinor on 2-and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.

📜 SIMILAR VOLUMES

Skew Killing spinors

✍ Georges Habib; Julien Roth 📂 Article 📅 2012 🏛 SP Versita 🌐 English ⚖ 860 KB

Quaternionic Killing Spinors

✍ W. Kramer; U. Semmelmann; G. Weingart 📂 Article 📅 1998 🏛 Springer 🌐 English ⚖ 209 KB

Extrinsic Killing spinors

✍ Oussama Hijazi; Sebastián Montiel 📂 Article 📅 2003 🏛 Springer-Verlag 🌐 French ⚖ 147 KB

Killing spinors, twistor - spinors and H

Killing spinors, twistor - spinors and Hijazi inequality

✍ Andre Lichnerowicz 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 772 KB

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

Instantons and Killing spinors

✍ Derek Harland; Christoph Nölle 📂 Article 📅 2012 🏛 Springer-Verlag 🌐 English ⚖ 599 KB

Real Killing spinors and holonomy

✍ Christian Bär 📂 Article 📅 1993 🏛 Springer 🌐 English ⚖ 704 KB