带角正标量曲率流形的面拼接
微分几何
2024-02-20 v2
摘要
我们证明了一个新的去奇点定理,该定理允许通过适当粘合一对等距面,平滑地拼接两个给定的带角流形,并能控制所得空间的标量曲率及其边界的平均曲率。
引用
@article{arxiv.2308.05409,
title = {Attaching faces of positive scalar curvature manifolds with corners},
author = {Alessandro Carlotto and Chao Li},
journal= {arXiv preprint arXiv:2308.05409},
year = {2024}
}
备注
final preprint version, to appear in Beijing Journal of Pure and Applied Mathematics (invited contribution for the Bartnik memorial volume)