Remarks on Gauduchon Kähler-like manifolds

Jieming Yang

doi:10.5802/crmath.822

Article de recherche - Analyse et géométrie complexes

Remarks on Gauduchon Kähler-like manifolds
[Remarques sur les variétés de Gauduchon de type Kähler]

Jieming Yang ¹

¹Department of mathematics, Wenzhou University, Zhejiang, China

Comptes Rendus. Mathématique, Volume 364 (2026), pp. 87-100

Abstract (VO)
Résumé

We introduce conditions weaker than Gauduchon Kähler-like and use them to derive rigidity results. These results extend those obtained in [15, 16] under the stronger Gauduchon Kähler-like assumption.

Nous introduisons des conditions plus faibles que celles de Gauduchon de type Kähler et les utilisons pour en déduire des résultats de rigidité. Ces résultats étendent ceux obtenus dans [15, 16] sous l’hypothèse plus forte de Gauduchon de type Kähler.

Reçu le : 2024-12-08
Révisé le : 2025-12-16
Accepté le : 2026-02-08
Publié le : 2026-03-09

DOI : 10.5802/crmath.822

Classification : 53B35, 53C07, 53C55
Keywords: Gauduchon connections, Ricci curvatures, Kähler-like
Mots-clés : Connexions de Gauduchon, courbures de Ricci, de type Kähler

Affiliations des auteurs :

Jieming Yang ¹

¹ Department of mathematics, Wenzhou University, Zhejiang, China

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Jieming Yang},
     title = {Remarks on {Gauduchon} {K\"ahler-like} manifolds},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {87--100},
     year = {2026},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {364},
     doi = {10.5802/crmath.822},
     language = {en},
}

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Jieming Yang. Remarks on Gauduchon Kähler-like manifolds. Comptes Rendus. Mathématique, Volume 364 (2026), pp. 87-100. doi: 10.5802/crmath.822

Bibliographie
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