论文标题
与圆环在复杂矢量空间上的线性作用相关的广义卡兹丹 - 瓦纳方程
Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space
论文作者
论文摘要
我们在与圆环在复杂矢量空间上的线性作用相关的Riemannian歧管上介绍了广义的Kazdan-Warner方程。我们展示了方程解决方案对任何紧凑的riemannian歧管的存在和独特性。作为应用程序，我们给出了Baraglia定理的新证明，该证明声称环状Higgs捆绑包可以解决周期性TODA方程的解决方案。
We introduce generalized Kazdan-Warner equations on Riemannian manifolds associated with a linear action of a torus on a complex vector space. We show the existence and the uniqueness of the solution of the equation on any compact Riemannian manifold. As an application, we give a new proof of a theorem of Baraglia which asserts that a cyclic Higgs bundle gives a solution of the periodic Toda equation.
