带极点流形上标量曲率的积分
微分几何
2024-08-21 v1
摘要
在任意具有极点且Ricci曲率非负的完三倍Riemann流形上，我们证明了标量曲率的渐近尺度不变积分等于由该Riemann流形渐近体积比所决定的一项。
引用
@article{arxiv.2306.07460,
title = {Integral of scalar curvature on manifolds with a pole},
author = {Guoyi Xu},
journal= {arXiv preprint arXiv:2306.07460},
year = {2024}
}
备注
A formula is proved, to appear in Proceedings of the American Mathematical Society