Minimal graphs in $\mathbb{R}^{4}$ with bounded Jacobians

A. Savas-Halilaj; Th. Hasanis; Th. Vlachos

arxiv: 0806.0220 · v1 · submitted 2008-06-02 · 🧮 math.DG

Minimal graphs in mathbb{R}⁴ with bounded Jacobians

Th. Hasanis , A. Savas-Halilaj , Th. Vlachos This is my paper

classification 🧮 math.DG

keywords graphsmathbbminimalanalyticbernsteinboundedcharacterizationcomplex

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We obtain a Bernstein type result for entire two dimensional minimal graphs in $\mathbb{R}^{4}$, which extends a previous one due to L. Ni. Moreover, we provide a characterization for complex analytic curves.

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Minimal graphs in mathbb{R}⁴ with bounded Jacobians

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