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Constant mean curvature surfaces constructed by fusing Wente tori. (English) Zbl 0763.53014

The author announces a generalization of his fusing method from Delaunay pieces to pieces borrowed from Wente tori. The main result is the existence of closed constant mean curvature surfaces in 3-space for any genus \(g\geq2\) including in particular the case \(g=2\) that was not covered by earlier results.
Reviewer: D.Ferus (Berlin)

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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