On Gaps in the Orders of Complete Groups of Isometry and Homoteties in Specialized Riemannian Spaces and Metrics of the Most Mobile of These Spaces of the First Six Lacunars
Abstract
In the present paper there are considered metric Riemannian spaces Vn4a, in the metrics of which four algebraic structures work at once: real numbers Dm1 and complex numbers Cm2, quaternions Hm3 and octions Om4. We are interested in these spaces in terms of their isometric and homothetic mobility. It turns out that there are lacunas (gaps) in the orders r of complete groups of isometries Gr and homotheties Pr. The metrics of the most mobile spaces Vn4a of the first six lacunarities in the sense of I. P. Egorov are found.
About the Author
Z. N. Chetyrkina
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
Chetyrkina Zinaida Nikandrovna, Cand. of Sci., Associate Professor
220036, Minsk, Kunsevchina St., 36–580
Tel.: +375 29 275-24-64
References
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Review
For citations:
Chetyrkina Z.N. On Gaps in the Orders of Complete Groups of Isometry and Homoteties in Specialized Riemannian Spaces and Metrics of the Most Mobile of These Spaces of the First Six Lacunars. Doklady BGUIR. 2024;22(3):106-111. (In Russ.)
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