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 C2n⋉ρC2m have non-vanishing triple ABC-Massey products. Furthermore, such manifolds have no astheno-Kähler metric.
Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds / Cesarino, N., Tomassini, A.. - In: ANALYSIS AND MATHEMATICAL PHYSICS. - ISSN 1664-2368. - 16:3(2026). [10.1007/s13324-026-01199-2]
Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds
Cesarino N.;Tomassini A.
2026-01-01
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 C2n⋉ρC2m have non-vanishing triple ABC-Massey products. Furthermore, such manifolds have no astheno-Kähler metric.File in questo prodotto:
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