规定 Ricci 曲率泛函的 Palais-Smale 序列
微分几何
2024-12-24 v1
摘要
我们得到了紧致齐性空间上规定 Ricci 曲率泛函的发散 Palais-Smale 序列的完整刻画。作为应用,我们证明了广义 Wallach 空间及若干类广义旗流形上鞍点的存在性。我们还描述了某些例子中 Ricci 映射的像。
引用
@article{arxiv.2309.08090,
title = {Palais-Smale sequences for the prescribed Ricci curvature functional},
author = {Artem Pulemotov and Wolfgang Ziller},
journal= {arXiv preprint arXiv:2309.08090},
year = {2024}
}
备注
34 pages, 10 figures. arXiv admin note: text overlap with arXiv:2110.14129