Goto’s generalized Kähler stability theorem

Gil Cavalcanti

doi:10.1016/j.indag.2014.07.006

Goto’s generalized Kähler stability theorem

Gil Cavalcanti

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In these notes we give a shortened and more direct proof of Goto’s generalized Kaehler stability theorem stating that if (J1, J2) is a generalized Kaehler structure for which J2 is determined by a nowhere vanishing closed form, then small deformations of J1 can be coupled with small deformations of J2 so that the pair remains a generalized Ka ̈hler structure.

Original language	English
Pages (from-to)	948-956
Number of pages	8
Journal	Indagationes Mathematicae
Volume	25
Issue number	5
DOIs	https://doi.org/10.1016/j.indag.2014.07.006
Publication status	Published - Oct 2014

Keywords

Generalized complex geometry
Generalized Kaehler geometry
Deformation theory

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abstract = "In these notes we give a shortened and more direct proof of Goto{\textquoteright}s generalized Kaehler stability theorem stating that if (J1, J2) is a generalized Kaehler structure for which J2 is determined by a nowhere vanishing closed form, then small deformations of J1 can be coupled with small deformations of J2 so that the pair remains a generalized Ka{\" }hler structure.",

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AB - In these notes we give a shortened and more direct proof of Goto’s generalized Kaehler stability theorem stating that if (J1, J2) is a generalized Kaehler structure for which J2 is determined by a nowhere vanishing closed form, then small deformations of J1 can be coupled with small deformations of J2 so that the pair remains a generalized Ka ̈hler structure.

KW - Generalized complex geometry

KW - Generalized Kaehler geometry

KW - Deformation theory

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DO - 10.1016/j.indag.2014.07.006

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JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

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Goto’s generalized Kähler stability theorem

Abstract

Keywords

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