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- Title
ISOTHERMIC SURFACES OBTAINED FROM HARMONIC MAPS IN S<sup>6</sup>.
- Authors
Pacheco, Rui
- Abstract
The harmonicity of a smooth map from a Riemann surface into the 6-dimensional sphere S6 amounts to the closeness of a certain 1-form that can be written in terms of the nearly Kähler structure of S6. We will prove that the immersions F in R7 obtained from superconformal harmonic maps in S³⊂S6 by integration of the corresponding closed 1-forms are isothermic. The isothermic surfaces so obtained include a certain class of constant mean curvature surfaces in R³ that can be deformed isometrically through isothermic surfaces into non-spherical pseudo-umbilical surfaces in R7.
- Subjects
ISOTHERMAL surfaces (Thermodynamics); HARMONIC maps; RIEMANN surfaces; IMMERSIONS (Mathematics); CURVATURE
- Publication
Publications de l'Institut Mathématique, 2018, Vol 103, Issue 117, p175
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM1817175P