关于软Kähler流形、Bott-Chern和Aeppli上同调群的注记

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2023-04-24 DOI:10.1007/s10455-023-09903-2

Ionuţ Chiose, Rareş Răsdeaconu

引用次数: 1

摘要

我们为紧致复流形上软Kähler度量的存在性提供了一个新的上同调阻塞。给出了关于Bott-Chern和Aeppli上同调群的几个独立兴趣的结果，并讨论了相关的例子。

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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Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups

We provide a new cohomological obstruction to the existence of astheno-Kähler metrics on compact complex manifolds. Several results of independent interests regarding the Bott-Chern and Aeppli cohomology groups are presented and relevant examples are discussed.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.