Helicoidal surfaces under the cubic screw motion in Minkowski 3-space |
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| Authors: | Fenghui Ji Zhong Hua Hou |
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| Institution: | a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China
b Department of Mathematics, Tonghua Teachers College, Tonghua 134002, PR China |
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| Abstract: | In this paper, we construct helicoidal surfaces under the cubic screw motion with prescribed mean or Gauss curvature in Minkowski 3-space  . We also find explicitly the relation between the mean curvature and Gauss curvature of them. Furthermore, we discuss helicoidal surfaces under the cubic screw motion with H2=K and prove that these surfaces have equal constant principal curvatures. |
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| Keywords: | Minkowski space Helicoidal surface Cubic screw motion |
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