In this paper, by means of the Lorentzian Frenet frame along a spacelike curve in LorentzMinkowski 3-space, we construct slant ruled surfaces and slant developable surfaces with different director curves which belong to one-parameter families of the pseudo-spheres in this space. Moreover, for each slant ruled surface with each director curve, we search if this slant ruled surface has any singularities or not. Furthermore, for the cases in which the singularities appear, we determine the singularities of non-lightlike and non-cylindrical slant developable surfaces and also investigate the singularities of slant ruled surfaces.
机构:
Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R ChinaHarbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
Hu, Shichang
Wang, Zhigang
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Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R ChinaHarbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
Wang, Zhigang
Tang, Xiaoqing
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机构:
Shanghai Lixin Univ Accounting & Finance, Coll Stat & Math, Shanghai, Peoples R ChinaHarbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
机构:
Sapporo Sci Ctr, Atsubetsu Ku, Atsubetsu Chuo 1-5-2-20, Sapporo, Hokkaido 0040051, JapanSapporo Sci Ctr, Atsubetsu Ku, Atsubetsu Chuo 1-5-2-20, Sapporo, Hokkaido 0040051, Japan
Ito, Noriaki
Izumiya, Shyuichi
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Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, JapanSapporo Sci Ctr, Atsubetsu Ku, Atsubetsu Chuo 1-5-2-20, Sapporo, Hokkaido 0040051, Japan
机构:
Kumamoto Univ, Fac Adv Sci & Technol, Dept Math, 2-39-1 Kurokami,Chuo Ku, Kumamoto 8608555, JapanKumamoto Univ, Fac Adv Sci & Technol, Dept Math, 2-39-1 Kurokami,Chuo Ku, Kumamoto 8608555, Japan
Ando, Naoya
Umehara, Masaaki
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Tokyo Inst Technol, Dept Math & Comp Sci, 2-12-1-W8-34,O Okayama,Meguro ku, Tokyo 1528552, JapanKumamoto Univ, Fac Adv Sci & Technol, Dept Math, 2-39-1 Kurokami,Chuo Ku, Kumamoto 8608555, Japan
机构:
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