Deformations of Strong Kähler with torsion metrics

Existence of strong Kähler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics {ωt }t which equals a fixed SKT metr...

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Autores principales:	Piovani Riccardo, Sferruzza Tommaso
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	skt metrics deformations of complex structures 32g05 53b35 53c55 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f1afc4b71c544fd5bc791c80a47e4243
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spelling	oai:doaj.org-article:f1afc4b71c544fd5bc791c80a47e42432021-12-05T14:10:45ZDeformations of Strong Kähler with torsion metrics2300-744310.1515/coma-2020-0120https://doaj.org/article/f1afc4b71c544fd5bc791c80a47e42432021-10-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0120https://doaj.org/toc/2300-7443Existence of strong Kähler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics {ωt }t which equals a fixed SKT metric ω for t = 0, along a differentiable family of complex manifolds {Mt}t.Piovani RiccardoSferruzza TommasoDe Gruyterarticleskt metricsdeformations of complex structures32g0553b3553c55MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 286-301 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	skt metrics deformations of complex structures 32g05 53b35 53c55 Mathematics QA1-939
spellingShingle	skt metrics deformations of complex structures 32g05 53b35 53c55 Mathematics QA1-939 Piovani Riccardo Sferruzza Tommaso Deformations of Strong Kähler with torsion metrics
description	Existence of strong Kähler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of Hermitian metrics {ωt }t which equals a fixed SKT metric ω for t = 0, along a differentiable family of complex manifolds {Mt}t.
format	article
author	Piovani Riccardo Sferruzza Tommaso
author_facet	Piovani Riccardo Sferruzza Tommaso
author_sort	Piovani Riccardo
title	Deformations of Strong Kähler with torsion metrics
title_short	Deformations of Strong Kähler with torsion metrics
title_full	Deformations of Strong Kähler with torsion metrics
title_fullStr	Deformations of Strong Kähler with torsion metrics
title_full_unstemmed	Deformations of Strong Kähler with torsion metrics
title_sort	deformations of strong kähler with torsion metrics
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/f1afc4b71c544fd5bc791c80a47e4243
work_keys_str_mv	AT piovaniriccardo deformationsofstrongkahlerwithtorsionmetrics AT sferruzzatommaso deformationsofstrongkahlerwithtorsionmetrics
_version_	1718371772968992768

Deformations of Strong Kähler with torsion metrics

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