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<p>In this paper, we present explicit computations of non-trivial triple <i>ABC</i>–Massey products on non-Kähler solvmanifolds endowed with an invariant complex structure. We prove that the <i>Bigalke-Rollenske manifold</i>, the <i>generalized Nakamura manifolds</i> satisfying some suitable assumptions and compact quotients of the solvable Lie group <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {C}^{2n}\ltimes _{\rho } \mathbb {C}^{2m}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msup> <msub> <mo>⋉</mo> <mi>ρ</mi> </msub> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mrow> <mn>2</mn> <mi>m</mi> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> have non-vanishing triple <i>ABC</i>-Massey products. Furthermore, such manifolds have no astheno-Kähler metric.</p>

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

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  • 发表日期：

    2026年4月18日

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  • Nunzia Cesarino,
  • Adriano Tomassini

摘要

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 \(\mathbb {C}^{2n}\ltimes _{\rho } \mathbb {C}^{2m}\) C 2 n ⋉ ρ C 2 m have non-vanishing triple ABC-Massey products. Furthermore, such manifolds have no astheno-Kähler metric.