Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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N. Tardini - A. Tomassini

Differential operators on almost-Hermitian manifolds and harmonic forms

created by tardini on 23 Sep 2019
modified on 07 Jul 2020


Published Paper

Inserted: 23 sep 2019
Last Updated: 7 jul 2020

Journal: Complex Manifolds
Volume: 7
Number: 1
Pages: 106-128
Year: 2020

ArXiv: 1909.06569 PDF


We consider several differential operators on compact almost-complex, almost-Hermitian and almost-K\"ahler 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.

Tags: SIR2014-AnHyC

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