Non-periodic Riemann examples with handles (Q655334)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-periodic Riemann examples with handles |
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Non-periodic Riemann examples with handles (English)
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4 January 2012
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The paper represents a significant contribution to the research field of minimal surfaces in Euclidean space. The authors prove the existence of 1-parameter families of non-periodic, complete, embedded minimal surfaces with infinitely many parallel planar ends in Euclidean space. Several important examples are given, including some of finite genus. The reviewer finds the quasi-periodic examples of infinite genus particularly remarkable.
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minimal surfaces
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infinitely many planar ends
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desingularization
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noded Riemann surface
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