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ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE

  • Fu, Yu ;
  • Yang, Dan
  • Received : 2015.01.29
  • Published : 2016.01.31

Abstract

A generalized constant ratio surface (GCR surface) is defined by the property that the tangential component of the position vector is a principal direction at each point on the surface, see [8] for details. In this paper, by solving some differential equations, a complete classification of Lorentz GCR surfaces in the three-dimensional Minkowski space is presented. Moreover, it turns out that a flat Lorentz GCR surface is an open part of a cylinder, apart from a plane and a CMC Lorentz GCR surface is a surface of revolution.

Keywords

surfaces of revolution;GCR surfaces;Lorentz surfaces;constant slope surfaces;constant angle surfaces

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