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arxiv: math/0204253 · v1 · submitted 2002-04-20 · 🧮 math.DG · math-ph· math.AG· math.MP

Minimal tori in five-dimensional sphere in C³

classification 🧮 math.DG math-phmath.AGmath.MP
keywords minimaltoriclassfive-dimensionalsphereconsideredconstructedequation
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Special class of surfaces in five-dimensional sphere in $C^3$ is considered. Immersion equations for minimal tori of that class are shown to be reducible to the equation $u_{z\bar z}=e^u-e^{-2u}$ which is integrable by means of inverse scattering method. Finite-gap minimal tori are constructed.

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