论文标题
障碍物在紧凑的表面上的自偶联爱因斯坦 - 马克斯韦斯方程的障碍物的存在
Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface
论文作者
论文摘要
在本说明中，我们对紧凑的表面上的自偶联爱因斯坦 - 麦克斯 - 希格斯方程的存在构成了障碍，这取决于\ emph {higgs field}和\ emph {emph {vortex number} $ n $的零多重性。特别是，我们展示了无限的Higgs领域实例，这些实例不存在解决方案。
In this note we present an obstruction to the existence of solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of the zeroes of the \emph{Higgs field} and the \emph{vortex number} $N$. In particular, we exhibit infinitely many examples of Higgs fields for which solutions cannot exist.
