Holomorphic submersions onto Kähler or balanced manifolds

Published 9 Oct 2014 in math.DG and math.CV | (1410.2396v2)

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

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Lucia Alessandrini

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