Rigidity Results for Riemann and Schouten Solitons

被引：5

作者：

Tokura, Willian ^{[1
]}

Barboza, Marcelo ^{[2
]}

Batista, Elismar ^{[3
]}

Menezes, Ilton ^{[4
]}

机构：

[1] Univ Fed Acre, CCET, BR-69920900 Rio Branco, AC, Brazil

[2] Univ Fed Goias, IME, BR-74001970 Goiania, GO, Brazil

[3] Inst Fed Tocantins, Campus Dianopolis, BR-77300000 Dianopolis, TO, Brazil

[4] Univ Fed Oeste Bahia, CCET, BR-47810047 Barreiras, BA, Brazil

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 03期

关键词：

Riemann flow; Riemann solitons; gradient Riemann solitons; Schouten solitons; rigidity results; RICCI SOLITONS; GRADIENT; COMPACT;

D O I：

10.1007/s00009-023-02319-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we take a look at conditions that make a Riemann soliton trivial, compacity being one of them. We also obtain scalar curvature estimates for complete shrinking or steady gradient Riemann solitons whose scalar curvature is bounded from below at infinity.

引用

页数：9

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