Deformation classes in generalized Kähler geometry

We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. We show that the generalized Kähler-Ricci flow preserves this generalized Kähle...

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Auteurs principaux:	Gibson Matthew, Streets Jeffrey
Format:	article
Langue:	EN
Publié:	De Gruyter 2020
Sujets:	ricci flow generalized geometry 53c55 53d18 53e20 53e30 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/8b2c14abb8d64752ad9c427d56e02bd3
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id	oai:doaj.org-article:8b2c14abb8d64752ad9c427d56e02bd3
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spelling	oai:doaj.org-article:8b2c14abb8d64752ad9c427d56e02bd32021-12-02T15:08:24ZDeformation classes in generalized Kähler geometry2300-744310.1515/coma-2020-0101https://doaj.org/article/8b2c14abb8d64752ad9c427d56e02bd32020-10-01T00:00:00Zhttp://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0101/coma-2020-0101.xml?format=INThttps://doaj.org/toc/2300-7443We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. We show that the generalized Kähler-Ricci flow preserves this generalized Kähler cone, and the underlying real Poisson tensor.Gibson MatthewStreets JeffreyDe Gruyterarticlericci flowgeneralized geometry53c5553d1853e2053e30MathematicsQA1-939ENComplex Manifolds, Vol 7, Iss 1, Pp 241-256 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	ricci flow generalized geometry 53c55 53d18 53e20 53e30 Mathematics QA1-939
spellingShingle	ricci flow generalized geometry 53c55 53d18 53e20 53e30 Mathematics QA1-939 Gibson Matthew Streets Jeffrey Deformation classes in generalized Kähler geometry
description	We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. We show that the generalized Kähler-Ricci flow preserves this generalized Kähler cone, and the underlying real Poisson tensor.
format	article
author	Gibson Matthew Streets Jeffrey
author_facet	Gibson Matthew Streets Jeffrey
author_sort	Gibson Matthew
title	Deformation classes in generalized Kähler geometry
title_short	Deformation classes in generalized Kähler geometry
title_full	Deformation classes in generalized Kähler geometry
title_fullStr	Deformation classes in generalized Kähler geometry
title_full_unstemmed	Deformation classes in generalized Kähler geometry
title_sort	deformation classes in generalized kähler geometry
publisher	De Gruyter
publishDate	2020
url	https://doaj.org/article/8b2c14abb8d64752ad9c427d56e02bd3
work_keys_str_mv	AT gibsonmatthew deformationclassesingeneralizedkahlergeometry AT streetsjeffrey deformationclassesingeneralizedkahlergeometry
_version_	1718388133786025984

Deformation classes in generalized Kähler geometry

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