两种求和块的齐维伯恩度不存在性质的证明
微分几何
2025-05-13 v1
摘要
我们证明了在由两个不可约求和块构成的紧致流形类中，不存在齐维伯恩度的齐维一伯恩度度量。该证明采用相空间屏障论证方法，得到了对闭合齐维一伯恩度度量的新型阻碍，即使主要轨道本身就存在齐维伯恩度度量亦然。
引用
@article{arxiv.2505.06631,
title = {Non-existence of cohomogeneity one Einstein metrics of two summands},
author = {Hanci Chi},
journal= {arXiv preprint arXiv:2505.06631},
year = {2025}
}
备注
This submission contains the non-existence result originally part of arXiv:2405.10836v3, now split off for clarity. We appreciate the valuable feedback from our readers