Recognizing Euclidean Space Forms with Minimal Fundamental Tetrahedra
收藏DataCite Commons2022-01-21 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/24630/20429
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资源简介：
We completely recognize the topological structure of the ten compact euclidean space forms with special minimal tetrahedra, constructed by face pairings in nice papers of Molnár [8-9]. From these polyhedral descriptions we derive special presentations with two generators for the fundamental groups of the considered manifolds. Our proofs also show that such group presentations completely characterize the euclidean space forms among closed connected $3$-manifolds. The results have also didactical importance.
提供机构：
University of Salento
创建时间：
2022-01-21
