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http://dx.doi.org/10.4134/BKMS.2016.53.1.227

ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE  

Fu, Yu (School of Mathematics Dongbei University of Finance and Economics)
Yang, Dan (Normal College Shenyang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.1, 2016 , pp. 227-245 More about this Journal
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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