- ON LORENTZ GCR SURFACES IN MINKOWSKI 3-SPACE
- Fu, Yu ; Yang, Dan ;
- Bulletin of the Korean Mathematical Society, volume 53, issue 1, 2016, Pages 227~245
- DOI : 10.4134/BKMS.2016.53.1.227

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.