NDLI: Connections on Cahen-Wallach Spaces

Content Provider	Springer Nature Link
Author	Klinker, Frank
Copyright Year	2014
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 here provide a complete list with respect to a particular algebraic condition on the parameters that enter into the construction.
Starting Page	737
Ending Page	768
Page Count	32
File Format	PDF
ISSN	01887009
Journal	Advances in Applied Clifford Algebras
Volume Number	24
Issue Number	3
e-ISSN	16614909
Language	English
Publisher	Springer Basel
Publisher Date	2014-02-19
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Spinor connection Cahen-Wallach space homogeneous structure quadratic Clifford pair Mathematical Methods in Physics Theoretical, Mathematical and Computational Physics Applications of Mathematics Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Connections on Cahen-Wallach Spaces