Characterization of proper curves and proper helix on $S_{1}^2(r)$

In this paper, we analyse the proper curve $\gamma(s)$ lying on pseudo-sphere. We develop an orthogonal frame $\lbrace V_{1}, V_{2}, V_{3} \rbrace$ along curve, pseudosphere. Next, find condition for to become $V_{k} -$ slant helix in Minkowski space. Moreover, another $\beta(\bar{s})$ pseudosphere or hyperbolic plane heaving $V_{2} = \bar{V_{2}}$ which \bar{V_{1}},\bar{V_{2}},\bar{V_{3}} \rbrace$, $\beta(\bar{s})$. Finally, lie a plane.