The infinitesimal variation of the spin abelian differentials and periodic minimal surfaces (Q1271407)
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scientific article; zbMATH DE number 1223303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The infinitesimal variation of the spin abelian differentials and periodic minimal surfaces |
scientific article; zbMATH DE number 1223303 |
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The infinitesimal variation of the spin abelian differentials and periodic minimal surfaces (English)
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6 June 1999
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The author proves that there is a countable number of genus \(g\), \(g>2\), compact minimal immersed surfaces in any flat real \(3\)-torus. Moreover, he studies the locus corresponding to proper triply periodic minimal surfaces in \(M_g\), the moduli space of genus \(g\) compact connected Riemann surfaces and shows that its closure contains a vanishing thetanull if \(g>2\) and the locus of the smooth plane quintics is \(g=6\).
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spin abelian differentials
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proper triply periodic minimal surfaces
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theta divisor
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0.90048206
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0.87792325
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0.8577086
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0.8565133
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0.85620356
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