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, ZONGGANG and LI, TONGZHU
(2020)
"Conformally flat Willmore spacelike hypersurfaces in $\mathbb{R}^{n+1}_1$,"
Turkish Journal of Mathematics: Vol. 44:
No.
1, Article 17.
https://doi.org/10.3906/mat-1904-42
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss1/17
