ON THE NONEXISTENCE OF LEFT-INVARIANT RICCI SOLITONS - A CONJECTURE AND EXAMPLES

被引：2

作者：

Taketomi, Y. ^{[1
]}

Tamaru, H. ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, 1-3-1 Kagamiyama, Higashihiroshima 7398526, Japan

来源：

TRANSFORMATION GROUPS | 2018年 / 23卷 / 01期

关键词：

LIE-GROUPS; EINSTEIN SOLVMANIFOLDS; SYMMETRIC-SPACES; FOLIATIONS; METRICS;

D O I：

10.1007/s00031-017-9439-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we conjecture an obstruction for arbitrary Lie groups to admit left-invariant Ricci solitons, from the viewpoint of isometric actions on noncompact symmetric spaces. We also construct examples of Lie groups that affirm the conjecture, in any dimension greater than two.

引用

页码：257 / 270

页数：14

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