Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
| dc.creator | Ma, Xiang | |
| dc.creator | Wang, Peng | |
| dc.date | 2007-09-12 | |
| dc.date.accessioned | 2026-07-07T09:56:43Z | |
| dc.date.available | 2026-07-07T09:56:43Z | |
| dc.description | Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal geometry which parallels the theory of Willmore surfaces in $S^4$, are studied in this paper. We define two kinds of transforms for such a surface, which produce the so-called left/right polar surfaces and the adjoint surfaces. These new surfaces are again conformal Willmore surfaces. For them holds interesting duality theorem. As an application spacelike Willmore 2-spheres are classified. Finally we construct a family of homogeneous spacelike Willmore tori. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0709.1837 | |
| dc.identifier | http://arxiv.org/abs/0709.1837 | |
| dc.identifier | Science in China (Series A), Vol. 51(2008), No. 9, 1561-1576 | |
| dc.identifier | doi:10.1007/s11425-008-0052-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167074 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42 (53B30,53C40) | |
| dc.title | Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms | |
| dc.type | text |