In this paper, existence theorem is established for spacelike Bonnet surfaces in stationary spacetimes, suggesting new geometric insights.
In this paper, we primarily employ the moving frame method to establish an existence theorem for spacelike Bonnet surfaces in stationary Lorentzian three-manifolds L3. These results characterize the extrinsic geometric rigidity of Bonnet surfaces. Furthermore, such surfaces offer potential applications to the related studies of initial spacelike hypersurfaces in (2 + 1)-dimensional gravity, serving as promising candidates for preferred foliations.
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Yang et al. (2026) studied this question.
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