Ricci平面与Einstein伪黎曼幂流形

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2018-12-04 DOI:10.1515/coma-2019-0010

D. Conti, F. Rossi

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引用次数: 17

摘要

摘要这是一篇部分解释性的论文，回顾了作者在幂零李群上的伪黎曼-爱因斯坦度量方面的工作。给出了漂亮幂零李群上对角Einstein度量存在性的一个新判据。得到了Ricci-˛在维数为[8.8.tf]的幂零李群上的度量上的特殊类的分类。提出了一些相关的开放性问题。

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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Ricci-flat and Einstein pseudoriemannian nilmanifolds

Abstract This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-˛at metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented.

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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.