论文标题
统一的K稳定性和共同的Kähler，Einstein-Maxwell几何形状
Uniform K-stability and Conformally Kähler, Einstein-Maxwell geometry on toric manifolds
论文作者
论文摘要
联邦Kähler，Einstein-Maxwell指标和$ f $ - 超级指标是Kähler几何形状中规范指标的概括。我们为感谢您的Kähler歧管引入了统一的K稳定性，并表明统一的K稳定性是在复曲面上存在$ f $ extremal指标的必要条件。此外，我们表明均匀的K稳定性等效于相对K能量的应有。
Conformally Kähler, Einstein-Maxwell metrics and $f$-extremal metrics are generalization of canonical metrics in Kähler geometry. We introduce uniform K-stability for toric Kähler manifolds, and show that uniform K-stability is necessary condition for the existence of $f$-extremal metrics on toric manifolds. Furthermore, we show that uniform K-stability is equivalent to properness of relative K-energy.
