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)
β¦ LIBER β¦
Parallel pure spinors and holonomy
β Scribed by Aziz Ikemakhen
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 111 KB
- Volume
- 337
- Category
- Article
- ISSN
- 1631-073X
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In this paper, we establish a one-to-one correspondence between UΓ°1Γ-gerbes with connections, on the one hand, and their holonomies, for simply connected manifolds, or their parallel transports, in the general case, on the other hand. This result is a higher-order analogue of the familiar equivalenc