Three-dimensional Euclidean space "gluing" with using a cyclic group generated by an axial sliding symmetry
Автор: Sheremet G.G., Andreeva Z.I.
Журнал: Вестник Пермского университета. Математика. Механика. Информатика @vestnik-psu-mmi
Рубрика: Математика
Статья в выпуске: 3 (58), 2022 года.
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The obtained with using Euclidean three-dimensional space "gluing" space E34 is defined. An uniformly discontinuous subgroup of the Euclidean space motions group is used for "gluing". It is a cyclic group generated by an axial sliding symmetry of the space E3. The new space main objects are determined and their affine and some metric properties are studied.
Euclidean space, distance, motion, axial symmetry parallel translation, group, group structure, uniformly discontinuous group, "gluing", plane, line, point, angle, perpendicularity, parallelism
Короткий адрес: https://sciup.org/147245534
IDR: 147245534 | DOI: 10.17072/1993-0550-2022-3-11-17
