Differential operators on almost-Hermitian manifolds and harmonic forms
Differential Geometry
2020-03-09 v2
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.
Cite
@article{arxiv.1909.06569,
title = {Differential operators on almost-Hermitian manifolds and harmonic forms},
author = {Nicoletta Tardini and Adriano Tomassini},
journal= {arXiv preprint arXiv:1909.06569},
year = {2020}
}