论文标题
关于叶的歧管上的广义喀兹 - 瓦纳方程
Generalized Kazdan-Warner equations on foliated manifolds
论文作者
论文摘要
在紧凑的叶状歧管上，我们将解决方案的存在和独特性扩展到广义的卡兹丹 - 瓦纳方程。我们提供了我们解决的PDE的示例，包括在基本循环希格斯束上的对角线谐波指标的横向Hitchin方程，这是在三维复杂的复合构层上，一个叶状歧管及其概括。
On compact foliated manifolds, we extend the theorem on the existence and uniqueness of solutions to generalized Kazdan-Warner equations. We provide examples of PDEs that we solve, including the transverse Hitchin equation for a diagonal harmonic metric on basic cyclic Higgs bundles over a 3-dimensional complex codimension one foliated manifold, and its generalizations.
