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Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space

Bülent Altunkaya [1]

In this work, we study slant helices in the n-dimensional Euclidean space. We give  methods to determine the position vectors of slant helices from arclength parameterized curves that lie on the unit hypersphere. By means of these methods, first we characterize  slant helices and Salkowski curves which lie on 2n-dimensional hyperboloid. After that,  we characterize  rectifying slant helices which are geodesics of 2n-dimensional cone.
Slant helix, Salkowski curve, rectifying curve, hyperspherical curve, geodesic of a hypersurface
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Birincil Dil en Matematik Araştırma Makalesi Orcid: 0000-0002-3186-5643Yazar: Bülent Altunkaya Ülke: Turkey Yayımlanma Tarihi : 3 Ekim 2019
 Bibtex @araştırma makalesi { iejg585408, journal = {International Electronic Journal of Geometry}, issn = {}, eissn = {1307-5624}, address = {}, publisher = {Kazım İLARSLAN}, year = {2019}, volume = {12}, pages = {229 - 240}, doi = {}, title = {Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space}, key = {cite}, author = {Altunkaya, Bülent} } APA Altunkaya, B . (2019). Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space. International Electronic Journal of Geometry , 12 (2) , 229-240 . Retrieved from https://dergipark.org.tr/tr/pub/iejg/issue/49199/585408 MLA Altunkaya, B . "Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space". International Electronic Journal of Geometry 12 (2019 ): 229-240 Chicago Altunkaya, B . "Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space". International Electronic Journal of Geometry 12 (2019 ): 229-240 RIS TY - JOUR T1 - Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space AU - Bülent Altunkaya Y1 - 2019 PY - 2019 N1 - DO - T2 - International Electronic Journal of Geometry JF - Journal JO - JOR SP - 229 EP - 240 VL - 12 IS - 2 SN - -1307-5624 M3 - UR - Y2 - 2019 ER - EndNote %0 International Electronic Journal of Geometry Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space %A Bülent Altunkaya %T Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space %D 2019 %J International Electronic Journal of Geometry %P -1307-5624 %V 12 %N 2 %R %U ISNAD Altunkaya, Bülent . "Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space". International Electronic Journal of Geometry 12 / 2 (Ekim 2019): 229-240 . AMA Altunkaya B . Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space. International Electronic Journal of Geometry. 2019; 12(2): 229-240. Vancouver Altunkaya B . Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space. International Electronic Journal of Geometry. 2019; 12(2): 240-229.