On gradient Schouten solitons conformal to a pseudo-Euclidean space

被引：3

作者：

Pina, Romildo ^{[1
]}

Menezes, Ilton ^{[1
]}

机构：

[1] Univ Fed Goias, IME, Caixa Postal 131, BR-74001970 Goiania, Go, Brazil

来源：

MANUSCRIPTA MATHEMATICA | 2020年 / 163卷 / 3-4期

关键词：

53C21; 53C50; 53C25;

D O I：

10.1007/s00229-019-01159-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider.-Einstein solitons that are conformal to a pseudoEuclidean space and invariant under the action of the pseudo-orthogonal group. We provide all the solutions for the gradient Schouten soliton case. Moreover, we proved that if a gradient Schouten soliton is both complete, conformal to a Euclidean metric, and rotationally symmetric, then it is isometric to R x Sn-1.

引用

页码：395 / 406

页数：12

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