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Quaternionic Direction Curves

Burak Sahiner
경북대학교 자연과학대학 수학과|2018.06|Kyungpook Mathematical Journal|제58권 제2호|pp. 377-388

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참고문헌

키워드

associated curvesdirection curvesquaternionic curvesquaternionic helixspatial quaternionic curves
주제분류수학

초록

In this paper, we de fine new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.

Abstract

In this paper, we de fine new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.

참고문헌 (17)

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관련 논문AI추천

Directional associated curves of a null curve in Minkowski 3-space김영호, Jinhua Qian대한수학회 · 대한수학회보2015 · 제52권 제1호SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE C3김영호, Jinhua Qian대한수학회 · 대한수학회보2015 · 제52권 제3호A New Kind of Slant Helix in Lorentzian (n + 2)−SpacesFaik Nejat Ekmekci, Fatma Ates, Ismail Gok경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호A study on rectifying curves in the dual Lorentzian spaceEmine Özbey, Mehmet Oral대한수학회 · 대한수학회보2009 · 제46권 제5호Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-spaceRam Shankar Gupta, Stuti Tamta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Characterizations of space curves with 1-type Darboux instantaneous rotation vectorHuseyin Kocayigit, Kadri Arslan, Mehmet Onder대한수학회 · 대한수학회논문집2016 · 제31권 제2호

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