Kapouleas, Nicolaos Compact constant mean curvature surfaces in Euclidean three-space. (English) Zbl 0727.53063 J. Differ. Geom. 33, No. 3, 683-715 (1991). The author extends the method of his earlier paper [Ann. Math., II. Ser. 131, 239-330 (1990; Zbl 0699.53007)]. He shows the existence of closed constant mean curvature surfaces of any genus \(>2\) with certain symmetries, and of many such without symmetry. He also obtains complete constant mean curvature surfaces of any genus \(>2\) with boundary a planar round circle. Reviewer: D.Ferus (Berlin) Cited in 3 ReviewsCited in 64 Documents MSC: 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:Hopf conjecture Citations:Zbl 0699.53007 × Cite Format Result Cite Review PDF Full Text: DOI