Bull. Korean Math. Soc. 2015; 52(4): 1339-1351
Printed July 31, 2015
https://doi.org/10.4134/BKMS.2015.52.4.1339
Copyright © The Korean Mathematical Society.
Yun Yang and Yanhua Yu
Northeastern University, Northeastern University
In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.
Keywords: pseudo-spherical curve, Frenet formula, ruled surface, structure function, pitch function
MSC numbers: 53A35, 53A55, 53B30
2016; 53(6): 1887-1892
2015; 52(5): 1661-1668
2001; 38(4): 753-761
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