Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1904-42
Keywords
Willmore spacelike hypersurface, conformal metric, elastic spacelike curve
First Page
252
Last Page
273
Recommended Citation
DENG, Z, & LI, T (2020). Conformally flat Willmore spacelike hypersurfaces in $\mathbb{R}^{n+1}_1$. Turkish Journal of Mathematics 44 (1): 252-273. https://doi.org/10.3906/mat-1904-42
