Non-developable ruled surfaces with timelike ruling in Minkowski 3-space
Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1339-1351
https://doi.org/10.4134/BKMS.2015.52.4.1339
Published online July 31, 2015
Yun Yang and Yanhua Yu
Northeastern University, Northeastern University
Abstract : 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
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