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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Main Authors:	Tardini Nicoletta, Tomassini Adriano
Format:	Article
Language:	English
Published:	De Gruyter 2020-03-01
Series:	Complex Manifolds
Subjects:	almost-complex manifold almost-kähler manifold differential operator cohomology 32q60 53c15 58a14 53d05
Online Access:	http://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0006/coma-2020-0006.xml?format=INT

id	doaj-1b1d3a50eb6c4fdb9a1ae15c66208f6f
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spelling	doaj-1b1d3a50eb6c4fdb9a1ae15c66208f6f2021-01-10T12:47:49ZengDe GruyterComplex Manifolds2300-74432020-03-017110612810.1515/coma-2020-0006coma-2020-0006Differential operators on almost-Hermitian manifolds and harmonic formsTardini Nicoletta0Tomassini Adriano1Dipartimento di Matematica “G. Peano”, Università degli studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy nicoletta.tardini@unito.itDipartimento di Scienze Matematiche, Fisiche e Informatiche, Unità di Matematica e Informatica, Università degli studi di Parma, Parco Area delle Scienze 53/A, 43124, Parma, ItalyWe 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.http://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0006/coma-2020-0006.xml?format=INTalmost-complex manifoldalmost-kähler manifolddifferential operatorcohomology32q6053c1558a1453d05
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Tardini Nicoletta Tomassini Adriano
spellingShingle	Tardini Nicoletta Tomassini Adriano Differential operators on almost-Hermitian manifolds and harmonic forms Complex Manifolds almost-complex manifold almost-kähler manifold differential operator cohomology 32q60 53c15 58a14 53d05
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
series	Complex Manifolds
issn	2300-7443
publishDate	2020-03-01
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.
topic	almost-complex manifold almost-kähler manifold differential operator cohomology 32q60 53c15 58a14 53d05
url	http://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0006/coma-2020-0006.xml?format=INT
work_keys_str_mv	AT tardininicoletta differentialoperatorsonalmosthermitianmanifoldsandharmonicforms AT tomassiniadriano differentialoperatorsonalmosthermitianmanifoldsandharmonicforms
_version_	1724342177260109824

Differential operators on almost-Hermitian manifolds and harmonic forms

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