Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds
Abstract
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 $$\mathbb {C}^{2n}\ltimes _{\rho } \mathbb {C}^{2m}$$ C 2 n ⋉ ρ C 2 m have non-vanishing triple ABC -Massey products. Furthermore, such manifolds have no astheno-Kähler metric.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Publication details
- Journal / source
- Analysis and Mathematical Physics
- Volume
- 16
- Issue
- 3
- Publication date
- 18 April 2026
- Language
- EN