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The paper is devoted to relations between topological and metric propertiesof germs of real surfaces, obtained by analytic maps from $R^2$ to $R^4$. Weshow that for a big class of such surfaces the normal embedding propertyimplies the triviality of the knot, presenting the link of the surfaces. Wealso present some criteria of normal embedding in terms of the polar curves.

Metrically un-knotted corank 1 singularities of surfaces in $\mathbb{R}^4$