Bonnet surfaces in (2 + 1)-dimensional stationary spacetimes
Abstract
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.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Volume
- 67
- Issue
- 3
- Publication date
- 1 March 2026
- Language
- EN