Connections on Cahen-Wallach spaces
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Date
2013-09-06
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Abstract
We systematically discuss connections on spinor bundles of Cahen-
Wallach symmetric spaces. A large class of these connections is closely connected
with a quadratic relation on a Clifford algebra. This relation in turn is
associated to a symmetric linear map that defines the underlying space. We
present various solutions of this relation. Moreover, we show that the solutions
we present here provide a complete list with respect to a particular algebraic
condition.