Burlakov, Igor M. Geometric structures in bundles of associative algebras. (English) Zbl 1367.53011 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 27-30 (2016). 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. Cited in 2 Documents MSC: 53A35 Non-Euclidean differential geometry 15A66 Clifford algebras, spinors Keywords:geometric structures; bundles of linear algebra; vector bundles on smooth manifolds PDFBibTeX XMLCite \textit{I. M. Burlakov}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 27--30 (2016; Zbl 1367.53011) Full Text: Link References: [1] Vishnevsky, V. V., Shirokov, A. P., Shurigin, V. V.: Spaces over Algebras. Kazan University, Kazan, 1965. [2] Dubrovin, B. A., Novikov, S. P., Fomenko, A. T.: Modern Geometry. Nauka, Moscow, 1978. [3] Penrose, R., Rindler, W.: Spinors and Space-time. Mir, Moscow, 1987. | · Zbl 0663.53013 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.