Tohoku Mathematical Journal
2016
December
SECOND SERIES VOL. 68, NO. 4

Tohoku Math. J.
68 (2016), 607-619

Title HOLOMORPHIC SUBMERSIONS ONTO K\"AHLER OR BALANCED MANIFOLDS

Author Lucia Alessandrini

(Received October 10, 2014, revised March 19, 2015)
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), Michelsohn (the balanced case), Popovici (the sG case) and others.

Mathematics Subject Classification. Primary 53C55; Secondary 32J27, 32L05.
Key words and phrases. Kähler manifolds, balanced manifolds, sG manifolds, SKT manifolds, $p$-Kähler manifolds.

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