缝合度量空间及其切锥
度量几何
2020-09-02 v3
摘要
我们引入缝合度量空间的概念，并探索不同缝合空间集合中的球与测地线。我们求出其重新标度的 Gromov-Hausdorff 极限，并证明这些无穷远处的切锥存在、唯一且为赋范空间。我们以一系列适合高年级本科生、硕士生及博士生的开放问题作结。
引用
@article{arxiv.1906.03403,
title = {Smocked Metric Spaces and their Tangent Cones},
author = {Christina Sormani and Demetre Kazaras and David Afrifa and Victoria Antonetti and Moshe Dinowitz and Hindy Drillick and Maziar Farahzad and Shanell George and Aleah Lydeatte Hepburn and Leslie Trang Huynh and Emilio Minichiello and Julinda Mujo Pillati and Srivishnupreeth Rendla and Ajmain Yamin},
journal= {arXiv preprint arXiv:1906.03403},
year = {2020}
}
备注
66 pages, 32 figures, original research by Prof. Sormani, Dr. Kazaras, and a team of students listed both above as authors and also within v1 at the tops of the sections that they specifically worked on, v2 has minor expository changes, v3 has minor technical revisions