论文标题
$ s^1 $ -invariantkähler-icci solitons的存在和独特性
Existence and uniqueness of $S^1$-invariant Kähler-Ricci solitons
论文作者
论文摘要
我们使用Hwang-Singer开发的$ S^1 $ -INVARIANTKähler指标的动量结构来构建稳定的Kähler-Icci Solitons的新示例。我们还证明,如果矢量场和渐近行为是固定的,那么这些孤子在其Kähler类中是独一无二的。
We use the momentum construction for $S^1$-invariant Kähler metrics as developed by Hwang-Singer to construct new examples of steady Kähler-Ricci solitons. We also prove that these solitons are unique in their Kähler class, provided the vector field and the asymptotic behaviour are fixed.