Geometric structures in bundles of associative algebras. (English) Zbl 1367.53011

Summary: The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.


53A35 Non-Euclidean differential geometry
15A66 Clifford algebras, spinors
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