Timelike Bonnet surfaces with non-constant curvature

Abstract

In this study, the criterion of a timelike surface being Bonnet surface in 3-dimensional Minkowski space given by [11] is taken into consideration and by a similar manner of the classification of surfaces in Euclidean space done by I. M. Roussos in [6], timelike surfaces as Bonnet surfaces are investigated in three class as C , C and C . Timelike surfaces given in the case of C have constant mean curvature and were investigated by a detailed way in [11]. In the present study, by investigating the cases of C and C , a criterion of the timelike surfaces with non-constant mean curvature being Bonnet surfaces is determined.