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arxiv: 0806.3086 · v1 · submitted 2008-06-18 · 🧮 math.DG

A limit-method for solving period problems on minimal surfaces

classification 🧮 math.DG
keywords surfacesfamilylimit-methodminimalperiodperiodsproblemscalled
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We introduce a new technique to solve period problems on minimal surfaces called limit-method. If a family of surfaces has Weierstrass-data converging to the data of a known example, and this presents a transversal solution of periods, then the original family contains a sub-family with closed periods.

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