Holomorphic submersions onto Kähler or balanced manifolds

2014/10/09 by Alessandrini, Lucia
#32J27 #32L05 #53C55 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.2396

Abstract

We study many properties concerning weak Kählerianity on compact complex manifolds which admits a holomorphic submersion onto a Kähler or a balanced manifold. We get generalizations of some results of Harvey and Lawson (the Kähler case), Michelson (the balanced case), Popovici (the sG case) and others.

Related

• Compact complex manifolds whose complement of an analytic subset is Kahler
• Kähler structures for holomorphic submersions
• A Variational Approach to SKT and Balanced Metrics
• Kahler manifolds and their relatives
• Holomorphic mappings into compact complex manifolds