摘要
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.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 252-273 |
| 页数 | 22 |
| 期刊 | Turkish Journal of Mathematics |
| 卷 | 44 |
| 期 | 1 |
| DOI | |
| 出版状态 | 已出版 - 2020 |