具有环面对称性的几乎非负曲率的 4-流形
微分几何
2020-10-20 v2
摘要
我们证明：若一个闭的光滑单连通且具有圆作用的 4-流形容许一列几乎非负曲率的不变黎曼度量，则它也容许一个关于同一作用不变的非负曲率黎曼度量。对于更高秩的环面作用亦证得同样结论，从而在环面对称性假设下对几乎非负曲率的闭光滑单连通 4-流形给出了分类。
引用
@article{arxiv.1907.06702,
title = {Almost non-negatively curved 4-manifolds with torus symmetry},
author = {John Harvey and Catherine Searle},
journal= {arXiv preprint arXiv:1907.06702},
year = {2020}
}
备注
15 pages. As suggested by a referee for Proc. Amer. Math. Soc., the result is expanded in this version to include all torus actions, with the title changing accordingly