an:06823740
Zbl 1380.53025
Yang, Dan; Fu, Yu; Li, Lan
Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space
EN
Front. Math. China 12, No. 2, 459-480 (2017).
00362939
2017
j
53B25 53B30
generalized constant ratio (GCR) surface; constant slope surface; constant ratio surface
Summary: Generalized constant ratio surfaces are defined by the property that the tangential component of the position vector is a principal direction on the surfaces. In this work, we study these class of surfaces in the 3-dimensional Minkowski space \(\mathbb{L}^{3}\). We achieve a complete classification of spacelike generalized constant ratio surfaces in \(\mathbb{L}^{3}\).