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BY 4.0 license Open Access Published by De Gruyter Open Access March 25, 2020

Differential operators on almost-Hermitian manifolds and harmonic forms

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


We consider several differential operators on compact almost-complex, almost-Hermitian and almost-Kähler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation. We compare the associated spaces of harmonic forms and cohomologies with the classical de Rham, Dolbeault, Bott-Chern and Aeppli cohomologies.

MSC 2010: 32Q60; 53C15; 58A14; 53D05


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Received: 2019-09-17
Accepted: 2020-03-05
Published Online: 2020-03-25

© 2020 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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