no. 1
Differential geometry
On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics
[Sur les variétés compactes complexes non Kähler avec des métriques équilibrées et asthéno-Kähler]

Présenté par : the Editorial Board

Latorre, Adela1 ; Ugarte, Luis1
1 Departamento de Matemáticas – I.U.M.A., Universidad de Zaragoza, Campus Plaza San Francisco, 50009 Zaragoza, Spain
Comptes Rendus. Mathématique, Tome 355 (2017) no. 1, pp. 90-93.

Dans cette note, nous construisons, pour chaque n≥4, une variété compacte complexe non Kähler X de dimension complexe n admettant une métrique equilibrée et une métrique asthéno-Kähler ; de plus, cette métrique est k-ième Gauduchon pour 1≤k≤n−1.

In this note, we construct, for every n≥4, a non-Kähler compact complex manifold X of complex dimension n admitting a balanced metric and an astheno-Kähler metric, which is in addition k-th Gauduchon for any 1≤k≤n−1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.11.004
Latorre, Adela 1 ; Ugarte, Luis 1

1 Departamento de Matemáticas – I.U.M.A., Universidad de Zaragoza, Campus Plaza San Francisco, 50009 Zaragoza, Spain 
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Latorre, Adela; Ugarte, Luis. On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics. Comptes Rendus. Mathématique, Tome 355 (2017) no. 1, pp. 90-93. doi : 10.1016/j.crma.2016.11.004. http://www.numdam.org/articles/10.1016/j.crma.2016.11.004/

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