On non-K "ahler compact complex manifolds with balanced and\n astheno-K "ahler metrics

2016/08/24 by Adela Latorre, Latorre, Adela, Luis Ugarte +1 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1608.06744

openalex publication_date 2016/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we present, for every n \≥ 4, a non-K "ahler compact complex\nmanifold X of complex dimension n admitting a balanced metric and an\nastheno-K "ahler metric which is in addition k-th Gauduchon for any 1\≤\nk\≤ n-1.\n

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• On astheno-Kähler manifolds

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