Equivariant harmonic maps into the sphere via isoparametric maps. (English) Zbl 0805.53059
Author’s summary: “By using concrete isoparametric maps we obtain some new equivariant harmonic maps between spheres and solve equivariant boundary value problems for harmonic maps from unit open ball into a sphere.” The method is based on earlier work of R. T. Smith [Am. J. Math. 97, 364-385 (1975; Zbl 0321.57020)], see also P. Baird [Res. Notes Math. 87, Pitman (Boston 1983; Zbl 0515.58010)].
Reviewer: D.Ferus (Berlin)
MSC:
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 58E20 | Harmonic maps, etc. |
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