Bott-Chern harmonic forms and primitive decompositions on compact almost Kahler manifolds

被引：3

作者：

Piovani, Riccardo ^{[1
]}

Tardini, Nicoletta ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Sci Matemat Fis & Informat, Unita Matemat & Informat, Parco Area Sci 53-A, I-43124 Parma, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 06期

关键词：

Almost complex manifold; Almost Kahler manifold; Harmonic forms; Aeppli;

D O I：

10.1007/s10231-023-01338-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, J, ?) be a compact 2n-dimensional almost Kahler manifold. We prove primitive decompositions for Bott-Chern and Aeppli harmonic forms in special bidegrees and show that such bidegrees are optimal. We also show how the spaces of primitive Bott-Chern, Aeppli, Dolbeault and ?-harmonic forms on (X, J, ?) are related.

引用

页码：2749 / 2765

页数：17

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