In this paper, we introduce the notion of pseudo null and null Cartan Darboux helices in Minkowski 3-space. We characterize the Darboux vectors of the pseudo null and the null Cartan curves in terms of the Darboux helices and the rectifying curves. We find an explicit parameter equation of a pseudo null curve of constant precession and prove that there are no null Cartan curves of constant precession. Finally, we give some examples.
机构:
NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
Harbin Normal Univ, Sch Math Sci, Harbin 150500, Peoples R ChinaNE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
Wang, Zhigang
Pei, Donghe
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NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R ChinaNE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
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Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
Liu, Tongchang
Pei, Donghe
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Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China