For any sequence of properly convex domains in the real projective plane such that the zeros of Pick differentials have bounded multiplicity and get further and further apart, we determined all Hausdorff limit domains that one can obtain after normalizing each member of the sequence by a projective transformation. We then show that the result can be applied to convex domains generated by projective triangular reflection groups.

中文翻译：

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投影平面中凸域的限制多边形

对于实射影平面中适当凸域的任何序列，使得 Pick 微分的零点具有有界多重性并且越来越远，我们确定了通过射影变换对序列的每个成员进行归一化后可以获得的所有 Hausdorff 限制域. 然后我们表明该结果可以应用于由投影三角反射群生成的凸域。