paper

On the -property for complex space forms

arXiv:2010.16075 · doi:10.1007/S12188-021-00233-3

Abstract

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 -property, i.e. such that on a neighborhood of each of its points the -th power of the Kähler Laplacian is a polynomial function of the complex Euclidean Laplacian, for all positive integer . In particular, they conjectured that if a Kähler manifold satisfies the -property then it is a complex space form. This paper is dedicated to the proof of the validity of this conjecture.

8 pages. arXiv admin note: text overlap with arXiv:1912.08879

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