紧致齐性空间上 Ricci 流的坍缩远古解
微分几何
2022-08-31 v2
摘要
我们证明了紧致齐性空间上 Ricci 流坍缩远古解的一般存在性定理，并表明它们在适当重标度下于 Gromov-Hausdorff 拓扑中收敛到环面纤维化底空间上的爱因斯坦度量。该构造推广了文献中所有先前已知的例子。
引用
@article{arxiv.2110.05818,
title = {Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces},
author = {Francesco Pediconi and Sammy Sbiti},
journal= {arXiv preprint arXiv:2110.05818},
year = {2022}
}
备注
15 pages; Theorem A has been improved by removing the G-non-degeneracy hypothesis; Comments are welcome