On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics

preprint2016arXivOpen access

Abstract

In this note we present, for every n≥4n \geq 4, a non-Kähler compact complex manifold XX of complex dimension nn admitting a balanced metric and an astheno-Kähler metric which is in addition kk-th Gauduchon for any 1≤k≤n−11\leq k\leq n-1.

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