ON ALMOST η-RICCI-BOURGUIGNON SOLITONS

被引：4

作者：

Traore, Moctar ^{[1
]}

Tastan, Hakan Mete ^{[1
]}

Aydin, Sibel Gerdan ^{[1
]}

机构：

[1] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Vezneciler, Turkiye

来源：

MISKOLC MATHEMATICAL NOTES | 2024年 / 25卷 / 01期

关键词：

almost eta -Ricci Bourguignon solitons; Hodge -de Rham; integral formulas;

D O I：

10.18514/MMN.2024.4378

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a Riemannian manifold with almost eta-Ricci-Bourguignon soliton structure. We use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost eta-Ricci-Bourguignon soliton. Moreover, we show that a nontrivial, compact almost eta-Ricci-Bourguignon soliton of constant scalar curvature is isometric to the Euclidean sphere. Using some results obtaining from almost eta-Ricci Bourguignon soliton, we give the integral formulas for compact orientable almost eta-Ricci-Bourguignon soliton.

引用

页码：493 / 508

页数：16

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