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.
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页码：2749 / 2765
页数：17
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