On constant slope spacelike surfaces in 3-dimensional Minkowski space

On Space-Like Constant Slope Surfaces And Bertrand Curves In Minkowski 3-Space

“…In [1], we demonstrated that constant slope surfaces can be obtained by using quaternions. After that in [2], we found the relations between space-like constant slope surfaces [3] and split quaternions in Minkowski 3-space 3 1 .  Fu and Wang [4] studied time-like constant slope surfaces and classified these surfaces in 3 1 .…”

On Lorentz GCR Surfaces in Minkowski 3-Space

“…In particular, Munteanu gave a nice characterization of constant slope surfaces in Euclidean 3-space. Motivated by Munteanu's work, constant slope surfaces in Minkowski 3-space R 3 1 were classified by the authors in [10,11]. On the other hand, B. Y. Chen introduced in [3] the concept of constant ratio submanifolds, which is defined by the property that the ratio of the length of the tangential and normal components of its position vector is constant.…”

Time-Like Constant Slope Surfaces and Space-Like Bertrand Curves in Minkowski 3-Space

“…Fu and Yang [13] studied space-like constant slope surfaces in R 3 1 and classified these surfaces in the same space. Thereafter Babaarslan and Yayli [14] gave the relations among split quaternions, homothetic motions and space-like constant slope surfaces in R 3 1 : Fu and Wang [15] where h is a constant satisfying h 2 (0,p/2], n(u) = cot hlnu and f is a unit speed time-like curve on de Sitter 2-space S 2 1 : Also, there are some different characterizations of time-like constant slope surfaces in [15] since the results of them are similar to that we found [16], we only investigate the above characterization.…”