ALMOST RICCI-BOURGUIGNON SOLITON ON WARPED PRODUCT SPACE

被引：0

作者：

Kumar, Santosh ^{[1
]}

Kumar, Pankaj ^{[1
]}

Pal, Buddhadev ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, India

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 92卷 / 01期

关键词：

warped product; almost Ricci-Bourguignon soliton; Bochner formula; Riemannian map; scalar curvature; INVARIANT RIEMANNIAN MAPS;

D O I：

10.1016/s0034-4877(23)00058-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of this article is to study the almost Ricci-Bourguignon soliton on warped product space. Some results for solenoidal and concurrent vector fields are obtained on warped product space with almost Ricci-Bourguignon soliton. We provide the relation between the warped manifold and its base manifold (fiber manifold) for an almost Ricci-Bourguignon soliton. We also generalize the Bochner formula in warped product space. Next, we study the Riemannian map whose total manifold admits an almost Ricci-Bourguignon soliton. We find the condition for a kernel of Riemannian map to become an almost Ricci-Bourguignon soliton. Moreover, we give an example for almost Ricci-Bourguignon soliton on warped product space.

引用

页码：99 / 115

页数：17