总曲率下平行公设的黎曼刚性
微分几何
2016-11-24 v1
摘要
我们证明了欧几里得平面是唯一具有总曲率、无共轭点且满足 Playfair 版平行公设的黎曼平面。
引用
@article{arxiv.1611.07761,
title = {Riemannian Rigidity of the Parallel Postulate in Total Curvature},
author = {Jian Ge and Luis Guijarro and Pedro Solórzano},
journal= {arXiv preprint arXiv:1611.07761},
year = {2016}
}