The Hyperbolic Geometry of the Sinh-Gordon Equation
| dc.creator | Toda, Magdalena | |
| dc.date | 2003-03-26 | |
| dc.date | 2004-09-15 | |
| dc.date.accessioned | 2026-07-07T04:56:24Z | |
| dc.date.available | 2026-07-07T04:56:24Z | |
| dc.description | This preliminary report studies immersed surfaces of constant mean curvature in $H^3$ through their {\it adjusted Gauss maps} (as harmonic maps in $S^2$) and their {\it adjusted frames} in SU(2). Lawson's correspondence between Euclidean CMC surfaces and their hyperbolic cousins is interpreted here under a different perspective: the equivalence of their Weierstrass representations (normalized potentials). This work also presents a construction algorithm for the moving frame, the adjusted frame, their Maurer-Cartan forms, and ultimately the CMC immersion. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303326 | |
| dc.identifier | http://arxiv.org/abs/math/0303326 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66907 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10, 58E20 | |
| dc.title | The Hyperbolic Geometry of the Sinh-Gordon Equation | |
| dc.type | text |