Abelian Complex Structures and Generalizations

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2021-01-01 DOI:10.1515/coma-2020-0117

Y. Poon

引用次数: 0

Abstract

Abstract After a review on the development of deformation theory of abelian complex structures from both the classical and generalized sense, we propose the concept of semi-abelian generalized complex structure. We present some observations on such structure and illustrate this new concept with a variety of examples.

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阿贝尔复结构与推广

摘要从经典意义和广义意义上回顾了阿贝尔复杂结构变形理论的发展，提出了半阿贝尔广义复杂结构的概念。我们提出了对这种结构的一些观察，并用各种例子来说明这个新概念。

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.