Einstein幂自由基上的伪代数Ricci孤子

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-04-11 DOI:10.1515/advgeom-2020-0032

Zaili Yan

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引用次数: 2

摘要

摘要我们发展了一种在连通李群上寻找伪代数Ricci孤子的变分方法。作为应用，我们证明了每一个Einstein幂零根都允许一个非黎曼代数Ricci孤子，并且证明了半单李群上的任何代数Ricci孤立子都是Einstein。此外，我们在具有余维一阿贝尔理想的幂零李群上构造了几个洛伦兹代数Ricci孤子。

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Pseudo-algebraic Ricci solitons on Einstein nilradicals

Abstract We develop a variational method to find pseudo-algebraic Ricci solitons on connected Lie groups.As applications, we prove that every Einstein nilradical admits a non-Riemannian algebraic Ricci soliton, and that any algebraic Ricci soliton on a semi-simple Lie group is Einstein. Furthermore, we construct several Lorentz algebraic Ricci solitons on the nilpotent Lie groups which have a codimension one abelian ideal.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.