Helicoidal Surfaces and their Gauss map in Minkowski 3-space
Bull. Korean Math. Soc. 2010 Vol. 47, No. 4, 859-881
Published online July 1, 2010
Miekyung Choi, Young Ho Kim, Huili Liu, and Dae Won Yoon
Kyungpook National University, Kyungpook National University, Northeastern University, Gyeongsang National University
Abstract : 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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