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On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics
Published 24 Aug 2016 in math.DG | (1608.06744v2)
Abstract: In this note we present, for every $n \geq 4$, a non-K\"ahler compact complex manifold $X$ of complex dimension $n$ admitting a balanced metric and an astheno-K\"ahler metric which is in addition $k$-th Gauduchon for any $1\leq k\leq n-1$.
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