Cheshkova Mira Artemovna
Altai State University in Barnaul
Abstract. Two smooth vector-functions are considered in Euclidean space . It is assumed that are -periodic functions. It is proved that the transfer surface is a torus. The paper gives an example of a torus that is different from the classical one, which is obtained by rotating a circle about an axis. The author considers the torus as transfer surface that is obtained by the parallel transfer of one circle along the other. Inversion of the torus is studied. The surfaces under consideration are constructed with the help of the computer mathematics system.
Key words and phrases: поверхность переноса, окружность, тор, периодические функции, гомотопия, инверсия, transfer surface, circle, torus, periodic functions, homotopy, inversion
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Русский
