Abstract We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal for looking down. By a method of shortcuts, we define a new distance d such that the product of snowflaked Euclidean lines looks down on (RN , d), but not vice versa.

中文翻译：

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雪花欧几里得线的乘积不是最小的俯视

摘要 我们证明雪花欧几里得线的乘积不是最小的向下看。这个问题是由 David 和 Semmes 在破碎的分形和破碎的梦想，问题 11.17 中提出的。证明使用了 Le Donne、Li 和 Rajala 提出的论点来证明 Heisenberg 群不是最小的俯视。通过捷径的方法，我们定义了一个新的距离 d，使得雪花欧几里得线的乘积向下看 (RN , d)，反之则不然。