论文标题
在复杂空间形式的$δ$ property上
On the $Δ$-property for complex space forms
论文作者
论文摘要
Inspired by the work of Z. Lu and G. Tian [8], A. Loi, F. Salis and F. Zuddas address in [5] the problem of studying those Kähler manifolds satisfying the $Δ$-property, i.e. such that on a neighborhood of each of its points the $k$-th power of the Kähler Laplacian is a polynomial function of the complex Euclidean Laplacian,对于所有正整数$ k $。特别是，他们猜想，如果kähler歧管满足$Δ$ - 杂制，那是一种复杂的空间形式。本文致力于证明该猜想的有效性。
Inspired by the work of Z. Lu and G. Tian [8], A. Loi, F. Salis and F. Zuddas address in [5] the problem of studying those Kähler manifolds satisfying the $Δ$-property, i.e. such that on a neighborhood of each of its points the $k$-th power of the Kähler Laplacian is a polynomial function of the complex Euclidean Laplacian, for all positive integer $k$. In particular, they conjectured that if a Kähler manifold satisfies the $Δ$-property then it is a complex space form. This paper is dedicated to the proof of the validity of this conjecture.
