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Semi-discrete isothermic surfaces
- Source :
- Geom. Dedicata 183 (2016) 43-58
- Publication Year :
- 2015
-
Abstract
- A Darboux transformation for polarized space curves is introduced and its properties are studied, in particular, Bianchi permutability. Semi-discrete isothermic surfaces are described as sequences of Darboux transforms of polarized curves in the conformal n-sphere and their transformation theory is studied. Semi-discrete surfaces of constant mean curvature are studied as an application of the transformation theory.<br />Comment: plain TeX, 12 pages
- Subjects :
- Mathematics - Differential Geometry
53A10, 53C42, 53A30, 37K25, 37K35
Subjects
Details
- Database :
- arXiv
- Journal :
- Geom. Dedicata 183 (2016) 43-58
- Publication Type :
- Report
- Accession number :
- edsarx.1506.04730
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10711-016-0143-7