Abstract
In this paper, we give the equation satisfied by umbilics-free Willmore spacelike hypersurfaces using the conformal invariants in Lorentzian space forms. At the same time, we give the equation satisfied by hyperelastic spacelike curves in 2-dimensional Lorentzian space forms and classify the closed hyperelastic spacelike curves. Finally conformally flat Willmore spacelike hypersurfaces are classified in terms of the hyperelastic spacelike curves in 2-dimensional Lorentzian space forms.
| Original language | English |
|---|---|
| Pages (from-to) | 252-273 |
| Number of pages | 22 |
| Journal | Turkish Journal of Mathematics |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2020 |
Keywords
- Conformal metric
- Elastic spacelike curve
- Willmore spacelike hypersurface
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Deng, Z., & Li, T. (2020). Conformally flat Willmore spacelike hypersurfaces in R1n+1. Turkish Journal of Mathematics, 44(1), 252-273. https://doi.org/10.3906/mat-1904-42