Adjoint Transform of Willmore Surfaces in $n$-sphere
| dc.creator | Ma, Xiang | |
| dc.date | 2005-08-08 | |
| dc.date.accessioned | 2026-07-07T06:30:51Z | |
| dc.date.available | 2026-07-07T06:30:51Z | |
| dc.description | After the surface theory of Möbius geometry, this study concerns a pair of conformally immersed surfaces in $n$-sphere. Two new invariants $θ$ and $ρ$ associated with them are introduced as well as the notion of touch and co-touch. This approach is helpful in research about transforms of certain surface classes. As an application, we define adjoint transform for any given Willmore surface in $n$-sphere. It always exists locally (yet not unique in general) and generalizes known duality theorems of Willmore surfaces. This theory on surface pairs reaches its high point by a characterization of adjoint Willmore surfaces in terms of harmonic maps. | |
| dc.description | 22 pages; based on part of the author's PhD dissertation | |
| dc.identifier | https://arxiv.org/abs/math/0508139 | |
| dc.identifier | http://arxiv.org/abs/math/0508139 | |
| dc.identifier | manuscripta mathematica 120(2006), no.2, 163--179 | |
| dc.identifier | doi:10.1007/s00229-006-0635-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98445 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A30, 53A55, 53C42, 53C43 | |
| dc.title | Adjoint Transform of Willmore Surfaces in $n$-sphere | |
| dc.type | text |