Deformation classes in generalized Kähler geometry

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2020-01-01 DOI:10.1515/coma-2020-0101

Matthew Gibson, J. Streets

引用次数: 5

Abstract

Abstract 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.

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广义Kähler几何中的变形类

摘要我们使用Courant对称群描述了广义Kähler结构的自然变形类，它确定了Kächler类和Kähner锥的概念到广义Köhler几何的自然扩展。我们证明了广义Kähler-Ricci流保留了这个广义的Kächler锥和下面的实泊松张量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.