ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE

Yu Fu, Dan Yang
2016 Bulletin of the Korean Mathematical Society  
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
more » ... C Lorentz GCR surface is a surface of revolution.
doi:10.4134/bkms.2016.53.1.227 fatcat:3usah7keozepvn7deakwdjy3ze