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A kind of helicoidal surfaces in 3-dimensional Minkowski space
Authors:Fenghui Ji  Zhong Hua Hou
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
Abstract:In this paper we constructed a helicoidal surface with a light-like axis with prescribed mean curvature or Gauss curvature given by smooth function in 3-dimensional Minkowski space View the MathML source and solved an open problem left by Beneki, Kaimakamis, and Papantoniou in J. Math. Anal. Appl. 275 (2002) 586-614].
Keywords:Minkowski space  Helicoidal surface  Mean curvature  Gauss curvature
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