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

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作者
Ionuţ Chiose
Rareş Răsdeaconu
机构
[1] Institute of Mathematics of the Romanian Academy,Department of Mathematics
[2] Vanderbilt University,undefined
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关键词
Complex manifolds; Astheno-Kähler metrics; Bott-Chern cohomology; Aeppli cohomology; Primary 53C55; Secondary 32J18;
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摘要
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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