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- W4299660043 abstract "An almost Clifford and an almost Cliffordian manifold is a $G$--structure based on the definition of Clifford algebras. An almost Clifford manifold based on $mathcal O:= cc l (s,t)$ is given by a reduction of the structure group $GL(km, mathbb R)$ to $GL(m, {mathcal O})$, where $k=2^{s+t}$ and $m in mathbb N$. An almost Cliffordian manifold is given by a reduction of the structure group to $GL(m, mathcal O) GL(1,mathcal O)$. We prove that an almost Clifford manifold based on $mathcal O$ is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on $mathcal O$ is more rich. A class of distinguished connections in this case is described explicitly." @default.
- W4299660043 created "2022-10-02" @default.
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- W4299660043 date "2012-05-28" @default.
- W4299660043 modified "2023-09-29" @default.
- W4299660043 title "Geometry of almost Cliffordian manifolds: classes of subordinated connections" @default.
- W4299660043 doi "https://doi.org/10.48550/arxiv.1205.6048" @default.
- W4299660043 hasPublicationYear "2012" @default.
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