- Turkish Journal of Mathematics
- Vol: 44 Issue: 1
- Conformally flat Willmore spacelike hypersurfaces in Rn+11
Conformally flat Willmore spacelike hypersurfaces in Rn+11
Authors : Zonggang Deng, Tongzhu Li
Pages : 252-273
View : 6 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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