논문KCI 등재
Position vectors of a spacelike $W$-curve in Minkowski space $\Bbb{E}^3_1$
1
조회
0
다운로드
2
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper, we study the position vectors of a spacelikeW -curve (or a helix), i.e., curve with constant curvatures, with spacelike,timelike and null principal normal in the Minkowski 3-space E31. Wegive some chracterizations for spacelikeW - curves whose image lies onthe pseudohyperbolical space H20 and Lorentzian sphere S21 by using thepositions vectors of the curve.
참고문헌 (15)
- "Null Curves in a Minkowski space-time", bon(r) (1969)
- "On pseudohyperbolical curves in Minkowskispace-time", 27(2), pp.315~328 (2003)
- "When does the position vector of a space curve always lie in its rectifyingplane ?", 110(2), pp.147~152 (2003)
- "Higher Curvatures of a Regular Curve in Lorentzian Space", 11(2), pp.97~102 (1998)
- "Spacelike Normal Curves in Minkowski Space E31", 29(1), pp.53~63 (2005)
- "Timelike and Null Normal Curves in Minkowski Space E31", 35(7), pp.881~888 (2004)
- "Some Characterizations of RectifyingCurves in the Minkowski 3-space", 33(2), pp.23~32 (2003)
- "With applications to relativity" (1983), Academic Press Inc
- "Some characterizations of Lorentzian sphericalspacelike curves with the timelike and null principal normal", 4, pp.83~92 (2000)
- "Some characterizations of the spacelike the timelike and the null curves on thepseudohyperbolic space H20 in E31", 22, pp.71~82 (2000)
- "W -curves in Minkowski space-time", 32(2), pp.55~65 (2002)
- "Timelike helices in at space-time" (1967)
- "Curves and Surfaces in Minkowski Space" (1995)
- "A global formulation of the condition for a curve to lie in a sphere" (1963)
- "On an explicit characterization of spherical curves" (1972)
관련 논문AI추천
Frenet type formulae for $2$, $3$-planes in Minkowski space $\mathbb L^{6}$박성호강원경기수학회 · 한국수학논문집2019 · 제27권 제4호Directional associated curves of a null curve in Minkowski 3-space김영호, Jinhua Qian대한수학회 · 대한수학회보2015 · 제52권 제1호On Ruled surfaces in Minkowski spacesDae Won Yoon, Dong-Soo Kim, Young Ho Kim대한수학회 · 대한수학회논문집2003 · 제18권 제2호Null Bertrand Curves in a Lorentz Manifold진대호한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호On Pseudo Null Bertrand Curves in Minkowski Space-timeIsmail Gok, Kazim Ilarslan, Semra Kaya Nurkan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호A study on rectifying curves in the dual Lorentzian spaceEmine Özbey, Mehmet Oral대한수학회 · 대한수학회보2009 · 제46권 제5호
이 간행물의 다른 논문 (17건)
An upper bound of the basis number of the semi-strong product of cycles with bipartite graphsMohammed M. M. Jaradatpp. 385-394Ricci curvature of integral submanifolds of an $\mathcal{S}$-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathipp. 395-406Some examples of quasi-Armendariz ringsEbrahim Hashemipp. 407-414Note about the isochronicity of Hamiltonian systems and the curvature of the energyBlas Herrera G\'{o}mezpp. 415-418One-parameter groups of BoehmiansDennis Nemzerpp. 419-428
