Complex analysis/Differential geometry
Kähler submanifolds of the symmetrized polydisc
[Sous-variétés kählériennes du polydisque symétrisé]
Comptes Rendus. Mathématique, Tome 356 (2018) no. 4, pp. 387-394.

Ce texte démontre la non-existence de sous-variété kählérienne dans l'espace euclidien complexe et dans le polydisque symétrisé, munis de leur métrique canonique.

This paper proves the non-existence of common Kähler submanifolds of the complex Euclidean space and of the symmetrized polydisc endowed with their canonical metrics.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.03.009
Su, Guicong 1 ; Tang, Yanyan 1 ; Tu, Zhenhan 1

1 School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, PR China
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Su, Guicong; Tang, Yanyan; Tu, Zhenhan. Kähler submanifolds of the symmetrized polydisc. Comptes Rendus. Mathématique, Tome 356 (2018) no. 4, pp. 387-394. doi : 10.1016/j.crma.2018.03.009. http://www.numdam.org/articles/10.1016/j.crma.2018.03.009/

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