Spherical Images of W-Direction Curves in Euclidean 3-Space

Ìlkay Arslan Güven, Semra Kaya Nurkan and Ìpek Agaoglu Tor

Journal of Mathematics Research, 2020, vol. 12, issue 3, 39

Abstract: In this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve. We obtain the Frenet apparatus of these spherical indicatrices and the characterizations of being general helix and slant helix. Moreover we give some properties between the spherical indicatrices and their associated curves.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:12:y:2020:i:3:p:39

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