Some characterizations of Mannheim partner curves in the Minkowski 3-space E13

Proceedings of the Estonian Academy of Sciences

Mustafa Kazaz¹  H. Hüseyin UÄŸurlu¹  Mehmet Önder¹  Tanju Kahraman¹ 

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关键词: Minkowski 3-space;    timelike curve;    spacelike curve;    Mannheim partner curves;   

DOI  :  10.3176/proc.2011.4.02

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

In this paper, we give some characterizations of Mannheim partner curves in the Minkowski 3-space E13. Firstly, we classify these curves in E13. Next, we give some relationships characterizing these curves and we show that the Mannheim theorem is not valid for the Mannheim partner curves in E13. Moreover, by considering the spherical indicatrix of the Frenet vectors of those curves, we obtain some new relationships between the curvatures and torsions of the Mannheim partner curves in E13.

【 授权许可】

Unknown