曲面对角裤图中的层凸性
Convexity of strata in diagonal pants graphs of surfaces
摘要：
我们证明了一些凸性结果的层的对角裤图的表面，在类比的外在几何性质的层中的Weil-Petersson完成。因此，我们展示了凸平坦子图的每一个可能的秩内的对角裤图。
英文摘要：
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph.
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