Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds

Abstract

In this paper, we present explicit computations of non-trivial triple $ABC$-Massey products on non-Kähler solvmanifolds endowed with an invariant complex structure. We prove that the {\em Bigalke-Rollenske manifold}, the {\em generalized Nakamura manifolds} satisfying some suitable assumptions and compact quotients of the solvable Lie group ${\mathbb{C}}^{2n}{⋉}_{\rho }{\mathbb{C}}^{2m}$ have non-vanishing triple $ABC$-Massey products. Furthermore, such manifolds have no astheno-Kähler metric.