On non-K\"ahler compact complex manifolds with balanced and astheno-K\"ahler metrics

Adela Latorre; Luis Ugarte

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arXiv · 1608.06744

On non-K\"ahler compact complex manifolds with balanced and astheno-K\"ahler metrics

Adela Latorre·Luis Ugarte

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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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BibTeX RIS

Adela Latorre, Luis Ugarte. 2016-08-24. On non-K\"ahler compact complex manifolds with balanced and astheno-K\"ahler metrics. https://arxiv.org/abs/1608.06744

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