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Differential operators on almost-Hermitian manifolds and harmonic forms

Tardini Nicoletta, Tomassini Adriano

Complex Manifolds · 2020

doi:10.1515/coma-2020-0006 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY

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