特大度量
Extra-large metrics
摘要：
超大度量是所有锥角都大于2 π且每个闭测地线都大于2 π的球锥度量。我们证明了每个二维特大度量只能在锥点上与顶点进行三角剖分。这个论证对于欧几里得和双曲锥度量也有相同的结果，并且可以修改为对于高维超大度量也有类似的结果。超大型假设是必要的。
英文摘要：
An extra large metric is a spherical cone metric with all cone angles greater than 2 pi and every closed geodesic longer than 2pi. We show that every two-dimensional extra large metric can be triangulated with vertices at cone points only. The argument implies the same result for Euclidean and hyperbolic cone metrics, and can be modified to show a similar result for higher-dimensional extra-large metrics. The extra-large hypothesis is necessary.
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。
