Turkish Journal of Mathematics
DOI
10.3906/mat-1904-42
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.
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
