YUAN Yuan， LI Jing， LIU Hui-li. Special Curves in 3-Dimensional Euclidean Space[J]. Journal of Northeastern University Natural Science, 2017, 38(11): 1669-1672.
[1]吴大任.微分几何讲义［M］.北京:人民教育出版社，1981:38-63.(Wu Da-ren.Lecturs on differential geometry［M］.Beijing:People′s Education Press，1981:38-63.) [2]Ekmekei N，Llarslan K.Higher curvature of a regular curve in Lorentzian space ［J］. Journal of Institute of Mathematics and Computer Science，1998，11(2):97-102. [3]Ekmekei N，Llarslan K.On Bertrand curves and characterization［J］. Differential Geometry-Dynamical Systems，2001，3(2):17-24. [4]Schief W K.On the integrability of Bertrand curves and Razzaboni surfaces［J］.Journal of Geometry and Physics，2003，45:130-150. [5]Huili L，Fan W.Mannheim partner curves in 3-space［J］.Journal of Geometry，2008，88(1):120-126. [6]Choi J H，Kang T H，Kim Y H.Bertrand curves in 3-dimensional spaces forms［J］.Applied Mathematics and Computation，2012，219:1040-1046. [7]Tuncer Y，Sperpil U.New representations of Bertrand pairs in Euclidean 3-space［J］.Applied Mathematics and Computation，2012，219:1833-1842. [8]Matsuda H，Yorozu S.Notes on Bertrand curves［J］.Yokohama Mathematical Journal，2003，50:41-58. [9]Izumiya S，Takeuchi N.Special curves and ruled surface［J］.Contributions to Algebra and Geometry，2003，44(1):203 -212. [10]Carlsen B，Clelland J N.The geometry of lightlike surfaces in Minkowski space［J］.Journal of Geometry and Physics，2013，74:43-55.
