Doubly extended Lie groups—curvature, holonomy and parallel spinors
نویسندگان
چکیده
منابع مشابه
Doubly Extended Lie Groups - Curvature, Holonomy and Parallel Spinors
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 se...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2003
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00034-2