Connections on Cahen-Wallach spaces
Differential Geometry
2014-11-11 v3
Abstract
We systematically discuss connections on the spinor bundle of Cahen-Wallach symmetric spaces. A large class of these connections is closely connected to a quadratic relation on Clifford algebras. This relation in turn is associated to the symmetric linear map that defines the underlying space. We present various solutions of this relation. Moreover, we show that the solutions we present provide a complete list with respect to a particular algebraic condition on the parameters that enter into the construction.
Keywords
Cite
@article{arxiv.1308.6223,
title = {Connections on Cahen-Wallach spaces},
author = {Frank Klinker},
journal= {arXiv preprint arXiv:1308.6223},
year = {2014}
}
Comments
30 pages, v3 coincides with published version. Advances in Applied Clifford Algebras, 2014