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arxiv: math/0608351 · v1 · submitted 2006-08-14 · 🧮 math.DG · math.CV

Value distribution theoretical properties of the Gauss map of pseudo-algebraic minimal surfaces

classification 🧮 math.DG math.CV
keywords valuedistributiongaussminimalpropertiespseudo-algebraicsurfacestheoretical
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In this thesis, we study value distribution theoretical properties of the Gauss map of pseudo-algebraic minimal surfaces in n-dimensional Euclidean space. After reviewing basic facts, we give estimates for the number of exceptional values and the totally ramified value numbers and the corresponding unicity theorems for them.

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