Compact constant mean curvature surfaces in Euclidean three-space (Q803555)
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scientific article; zbMATH DE number 4201096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact constant mean curvature surfaces in Euclidean three-space |
scientific article; zbMATH DE number 4201096 |
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Compact constant mean curvature surfaces in Euclidean three-space (English)
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1991
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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.
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Hopf conjecture
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