Bull. Korean Math. Soc. 2010; 47(4): 859-881
Printed July 1, 2010
https://doi.org/10.4134/BKMS.2010.47.4.859
Copyright © The Korean Mathematical Society.
Miekyung Choi, Young Ho Kim, Huili Liu, and Dae Won Yoon
Kyungpook National University, Kyungpook National University, Northeastern University, Gyeongsang National University
The helicoidal surface is a generalization of rotation surface in a Minkowski space. We study helicoidal surfaces in a Minkowski 3-space in terms of their Gauss map and provide some examples of new classes of helicoidal surfaces with constant mean curvature in a Minkowski 3-space.
Keywords: helicoidal surfaces, Enneper's surface, Minkowski space, pointwise 1-type Gauss map
MSC numbers: 53B25, 53C40
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