与环面在复数向量空间上线性作用相关的广义 Kazdan-Warner 方程
微分几何
2023-05-30 v4
摘要
我们引入了黎曼流形上与环面在复数向量空间上线性作用相关的广义 Kazdan-Warner 方程。我们证明了该方程在任意紧致黎曼流形上解的存在性与唯一性。作为一个应用，我们给出了 Baraglia 定理的新证明，该定理断言循环 Higgs 丛给出周期 Toda 方程的解。
引用
@article{arxiv.2002.09141,
title = {Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space},
author = {Natsuo Miyatake},
journal= {arXiv preprint arXiv:2002.09141},
year = {2023}
}
备注
The numbering of theorems, propositions, examples, corollaries, lemmas, definitions, and remarks has been made the same as in the published version. 23 pages