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arXiv math/0510432math.GT
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变形欧氏锥3-流形

Deforming Euclidean cone 3-manifolds

Joan Porti, Hartmut Weiss

摘要:

给定一个锥角小于或等于π且不是几乎积的闭可定向欧氏锥3-流形C,刻画了C上锥角小于π的常曲率锥结构空间.我们建立了这类欧氏锥流形到球面或双曲锥流形的再生结果,并推导了欧氏锥结构的整体刚性。

英文摘要:

Given a closed orientable Euclidean cone 3-manifold C with cone angles less than or equal to pi, and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles less than pi. We establish a regeneration result for such Euclidean cone manifolds into spherical or hyperbolic ones and we also deduce global rigidity for Euclidean cone structures.

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。

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