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On parallel curves via parallel transport frame in euclidean 3-space. (English) Zbl 1413.53045

Summary: In this paper, we study the parallel curve of a space curve according to parallel transport frame. Then, we obtain new results according to some cases of this curve by using parallel transport frame in Euclidean 3-space. Additionally, we give new examples for this characterizations and we illustrate this examples in figures.

MSC:

53B25 Local submanifolds
53C40 Global submanifolds
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