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

Abstract

In this note we present, for every $n\ge 4$, a non-Kähler compact complex manifold $X$ of complex dimension $n$ admitting a balanced metric and an astheno-Kähler metric which is in addition $k$-th Gauduchon for any $1\le k\le n-1$.

5 pages, to appear in C. R. Math. Acad. Sci. Paris, Ser. I

References in corpus (1)

• Special Hermitian metrics on compact solvmanifolds