✦ LIBER ✦
Doubly extended Lie groups—curvature, holonomy and parallel spinors
✍ Scribed by Helga Baum; Ines Kath
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 309 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
In the present paper we study the geometry of doubly extended Lie groups with their natural biinvariant metric. We describe the curvature, the holonomy and the space of parallel spinors. This is completely done for all simply connected groups with biinvariant metric of Lorentzian signature (1, n -1), of signature (2, n -2) and of signature (p, q), where p + q 6. Furthermore, some special series with higher signature are discussed.