体积增长与正标量曲率
微分几何
2024-08-21 v1
摘要
对于三维完整、非紧致黎曼流形，如果其黎曼曲率满足非负 Ricci 曲率且标量曲率均匀为正，则我们获得该流形的尖锐线性体积增长比例及相应的刚性结果。
引用
@article{arxiv.2405.04001,
title = {Volume growth and positive scalar curvature},
author = {Guodong Wei and Guoyi Xu and Shuai Zhang},
journal= {arXiv preprint arXiv:2405.04001},
year = {2024}
}
备注
submitted to some journal