Bott–Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-05-02 DOI:10.1007/s10231-023-01338-7

Riccardo Piovani, Nicoletta Tardini

引用次数: 6

Abstract

Let \((X,J,\omega )\) be a compact 2n-dimensional almost Kähler 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 \(\partial \)-harmonic forms on \((X,J,\omega )\) are related.

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紧几乎Kähler流形上的Bott–Chern调和形式和基分解

设\（（X，J，\omega）\）是紧致的2n维几乎Kähler流形。我们证明了Bott–Chern和Aeppli调和形式在特殊双域中的原始分解，并证明了这种双域是最优的。我们还展示了原始Bott-Chern、Aeppli、Dolbeault和\（（X，J，\omega）\）上的\（\偏\）-调和形式的空间是如何相关的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.