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arXiv · 1909.06569

Differential operators on almost-Hermitian manifolds and harmonic forms

Nicoletta Tardini·Adriano Tomassini
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Abstract

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.

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Nicoletta Tardini, Adriano Tomassini. 2019-09-14. Differential operators on almost-Hermitian manifolds and harmonic forms. https://arxiv.org/abs/1909.06569

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