We provide families of compact (n+1)-dimensional complex non Kähler manifolds satisfying the ∂∂¯-Lemma, with holomorphically trivial canonical bundle, carrying a balanced metric and with no p-Kähler structures. Such a construction extends to the completely solvable case in any dimension Nakamura’s construction of low-dimensional holomorphically parallelizable solvmanifolds.
∂∂¯-lemma and p-Kähler structures on families of solvmanifolds / Cattaneo, A.; Tomassini, A.. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 308:3(2024), pp. 56.1-56.17. [10.1007/s00209-024-03612-7]
∂∂¯-lemma and p-Kähler structures on families of solvmanifolds
Cattaneo A.;Tomassini A.
2024-01-01
Abstract
We provide families of compact (n+1)-dimensional complex non Kähler manifolds satisfying the ∂∂¯-Lemma, with holomorphically trivial canonical bundle, carrying a balanced metric and with no p-Kähler structures. Such a construction extends to the completely solvable case in any dimension Nakamura’s construction of low-dimensional holomorphically parallelizable solvmanifolds.File in questo prodotto:
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