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math.DG2024
-Lemma and -Kähler structures on families of solvmanifolds
Andrea Cattaneo, Adriano Tomassini
We provide families of compact -dimensional complex non Kähler manifolds satisfying the -Lemma, with holomoprhically trivial canonical bundle, carr…
math.DG2024
Bott-Chern formality and Massey products on strong Kähler with torsion and Kähler solvmanifolds
Tommaso Sferruzza, Adriano Tomassini
We study the interplay between geometrically-Bott-Chern-formal metrics and SKT metrics. We prove that a -dimensional nilmanifold endowed with a invariant complex structure admit…