Differential operators on almost-Hermitian manifolds and harmonic forms

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,...

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Autores principales:	Tardini Nicoletta, Tomassini Adriano
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2020
Materias:	almost-complex manifold almost-kähler manifold differential operator cohomology 32q60 53c15 58a14 53d05 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/1b1d3a50eb6c4fdb9a1ae15c66208f6f
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spelling	oai:doaj.org-article:1b1d3a50eb6c4fdb9a1ae15c66208f6f2021-12-02T15:13:10ZDifferential operators on almost-Hermitian manifolds and harmonic forms2300-744310.1515/coma-2020-0006https://doaj.org/article/1b1d3a50eb6c4fdb9a1ae15c66208f6f2020-03-01T00:00:00Zhttp://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0006/coma-2020-0006.xml?format=INThttps://doaj.org/toc/2300-7443We 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.Tardini NicolettaTomassini AdrianoDe Gruyterarticlealmost-complex manifoldalmost-kähler manifolddifferential operatorcohomology32q6053c1558a1453d05MathematicsQA1-939ENComplex Manifolds, Vol 7, Iss 1, Pp 106-128 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	almost-complex manifold almost-kähler manifold differential operator cohomology 32q60 53c15 58a14 53d05 Mathematics QA1-939
spellingShingle	almost-complex manifold almost-kähler manifold differential operator cohomology 32q60 53c15 58a14 53d05 Mathematics QA1-939 Tardini Nicoletta Tomassini Adriano Differential operators on almost-Hermitian manifolds and harmonic forms
description	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.
format	article
author	Tardini Nicoletta Tomassini Adriano
author_facet	Tardini Nicoletta Tomassini Adriano
author_sort	Tardini Nicoletta
title	Differential operators on almost-Hermitian manifolds and harmonic forms
title_short	Differential operators on almost-Hermitian manifolds and harmonic forms
title_full	Differential operators on almost-Hermitian manifolds and harmonic forms
title_fullStr	Differential operators on almost-Hermitian manifolds and harmonic forms
title_full_unstemmed	Differential operators on almost-Hermitian manifolds and harmonic forms
title_sort	differential operators on almost-hermitian manifolds and harmonic forms
publisher	De Gruyter
publishDate	2020
url	https://doaj.org/article/1b1d3a50eb6c4fdb9a1ae15c66208f6f
work_keys_str_mv	AT tardininicoletta differentialoperatorsonalmosthermitianmanifoldsandharmonicforms AT tomassiniadriano differentialoperatorsonalmosthermitianmanifoldsandharmonicforms
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Differential operators on almost-Hermitian manifolds and harmonic forms

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