Koiso型孤子的一个特征
A characterization of Koiso's typed solitons
摘要:
通过将Koiso的例子推广到非紧情形,我们在紧Kahler-Einstein流形上的某些全纯线丛上构造了各种类型的完全梯度Kahler-Ricci孤子.在附加的假设条件下,得到了具有非负里奇曲率的稳定梯度Kahler-Ricci孤子的一致化结果.
英文摘要:
By extending Koiso's examples to the non-compact case, we construct complete gradient Kahler-Ricci solitons of various types on certain holomorphic line bundles over compact Kahler-Einstein manifolds. Moreover, a uniformization result on steady gradient Kahler-Ricci solitons with non-negative Ricci curvature is obtained under additional assumptions.
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