The Gauss map of pseudo-algebraic minimal surfaces in $\mathbf{R}^{4}$

preprint2008arXivOpen access

In this paper, we prove effective estimates for the number of exceptional values and the totally ramified value number for the Gauss map of pseudo-algebraic minimal surfaces in Euclidean four-space and give a kind of unicity theorem.

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The Gauss map of pseudo-algebraic minimal surfaces in $\mathbf{R}^{4}$

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The Gauss map of pseudo-algebraic minimal surfaces in $\mathbf{R}^{4}$