Surfaces in S^3 and H^3 via Spinors
| dc.creator | Morel, Bertrand | |
| dc.date | 2002-04-08 | |
| dc.date | 2003-02-18 | |
| dc.date.accessioned | 2026-07-07T04:47:30Z | |
| dc.date.available | 2026-07-07T04:47:30Z | |
| dc.description | We generalize the spinorial characterization of isometric immersions of surfaces in R^3 given by T. Friedrich (On the spinor representation of surfaces in Euclidean 3-space, J. Geom. Phys. 28 (1998)) to surfaces in S^3 and H^3. The main argument is the interpretation of the energy-momentum tensor associated with a special spinor field as a second fundamental form. It turns out that such a characterization of isometric immersions in terms of a special section of the spinor bundle also holds in the case of hypersurfaces in the Euclidean 4-space. | |
| dc.description | LaTeX, 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204090 | |
| dc.identifier | http://arxiv.org/abs/math/0204090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63740 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C27, 53C45, 53A10 | |
| dc.title | Surfaces in S^3 and H^3 via Spinors | |
| dc.type | text |