In the present paper, we investigate the associated curves of the normal indicatrix of a regular curve in Euclidean $ 3- $space. We obtain the versions of the Bishop frame rotating around the Frenet elements of the normal indicatrix. As a result, we show that these associated curves are the elements of the versions of Bishop frame in Euclidean 3-space.
Citation: Beyhan YILMAZ. Some curve pairs according to types of Bishop frame[J]. AIMS Mathematics, 2021, 6(5): 4463-4473. doi: 10.3934/math.2021264
In the present paper, we investigate the associated curves of the normal indicatrix of a regular curve in Euclidean $ 3- $space. We obtain the versions of the Bishop frame rotating around the Frenet elements of the normal indicatrix. As a result, we show that these associated curves are the elements of the versions of Bishop frame in Euclidean 3-space.
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Beyhan YILMAZ. Some curve pairs according to types of Bishop frame[J]. AIMS Mathematics, 2021, 6(5): 4463-4473. doi: 10.3934/math.2021264
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