单连通四维李群上左不变para-Kähler结构的分类

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2021-02-25 DOI:10.1515/coma-2021-0127

M. W. Mansouri, A. Oufkou

引用次数: 0

摘要

摘要给出了四维单连通李群上的左不变para-Kähler结构的完全分类，直至一个自同构。作为应用，我们讨论了与这些结构相关的正则连接的曲率性质，如平面、Ricci平面和Ricci孤子的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groups

Abstract We give a complete classification of left invariant para-Kähler structures on four-dimensional simply connected Lie groups up to an automorphism. As an application we discuss some curvatures properties of the canonical connection associated to these structures as flat, Ricci flat and existence of Ricci solitons.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.