On Generalized Criterion for the Non-Isothermic Spacelike Surfaces

Abstract

In this work, we examine the generalized criterion to determine a non-isothermic spacelike Bonnet surface in three-dimensional Lorentzian space L3. For this aim, we generalized the criterion presented by Soyu & ccedil;ok in the Euclidean space to L3. By applying the generalized criterion, we identify the non-isothermic spacelike Bonnet surfaces among the helicoid surfaces classified by Beneki et al.