This work examines a criterion to identify non-isothermic spacelike Bonnet surfaces in three-dimensional Lorentzian space, suggesting new insights on geometric structures.
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 Soyuçok 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.
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Kanbay et al. (2026) studied this question.
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