曲率上有界的二维度量空间 I
度量几何
2024-12-04 v3 微分几何
摘要
我们确定了曲率上有界的二维度量空间的局部几何结构，即作为有限多个适当嵌入/分支浸入的 Lipschitz 圆盘的并集。由此，我们获得了此类奇异曲面的拓扑奇点集的图结构。
引用
@article{arxiv.2102.00623,
title = {Two-dimensional metric spaces with curvature bounded above I},
author = {Koichi Nagano and Takashi Shioya and Takao Yamaguchi},
journal= {arXiv preprint arXiv:2102.00623},
year = {2024}
}
备注
73 pages, 12figures, Theorem 1.5 was removed, and the proof of Lemma 7.16 was modified