紫红色建筑的最低刚度
Mostow rigidity for Fuchsian buildings
摘要：
我们表明，如果两个Fuchsian建筑物的理想边界之间的同胚保持组合交比几乎处处，那么它扩展到Fuchsian建筑物之间的同构。因此，Mostow刚性对Fuchsian建筑成立：如果一个群适当地作用于两个Fuchsian建筑X和Y上，那么X和Y等变同构。
英文摘要：
We show that if a homeomorphism between the ideal boundaries of two Fuchsian buildings preserves the combinatorial cross ratio almost everywhere, then it extends to an isomorphism between the Fuchsian buildings. It follows that Mostow rigidity holds for Fuchsian buildings: if a group acts properly and cocompactly on two Fuchsian buildings X and Y, then X and Y are equivariantly isomorphic.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
