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BY 4.0 license Open Access Published by De Gruyter Open Access August 15, 2022

Almost-complex invariants of families of six-dimensional solvmanifolds

  • Nicoletta Tardini and Adriano Tomassini EMAIL logo
From the journal Complex Manifolds

Abstract

We compute almost-complex invariants h¯p,o , hDolp,o and almost-Hermitian invariants hδ¯p,o on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds. Finally, as a consequence of almost-Kähler identities we provide an obstruction to the existence of a compatible symplectic structure on a given compact almost-complex manifold. Notice that, when (X, J, g, ω) is a compact almost Hermitian manifold of real dimension greater than four, not much is known concerning the numbers h¯p,q .

MSC 2010: 53C15; 58A14; 58J05

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Received: 2022-04-12
Accepted: 2022-07-12
Published Online: 2022-08-15

© 2022 Nicoletta Tardini et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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