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 Bigalke-Rollenske manifold , the generalized Nakamura manifolds satisfying some suitable assumptions and compact quotients of the solvable Lie group $$\mathbb {C}^{2n}\ltimes _{\rho } \mathbb {C}^{2m}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> <mml:msub> <mml:mo>⋉</mml:mo> <mml:mi>ρ</mml:mi> </mml:msub> <mml:msup> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> have non-vanishing triple ABC -Massey products. Furthermore, such manifolds have no astheno-Kähler metric.