<em>h</em>-Almost Ricci solitons with concurrent potential fields

<em>h</em>-Almost Ricci solitons with concurrent potential fields

In this paper, we will focus our attention on the structure of <em>h</em>-almost Ricci solitons. A complete classification of <em>h</em>-almost Ricci solitons with concurrent potential vector fields is given. Also, we obtain conditions on a submanifold of a Riemannian <em&...

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Bibliographic Details
Main Authors: Hamed Faraji, Shahroud Azami, Ghodratallah Fasihi-Ramandi
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
riemannian geometry
concurrent vector fields
<i>h</i>-almost ricci soliton
Online Access:https://www.aimspress.com/article/10.3934/math.2020269/fulltext.html
Description
Summary:In this paper, we will focus our attention on the structure of <em>h</em>-almost Ricci solitons. A complete classification of <em>h</em>-almost Ricci solitons with concurrent potential vector fields is given. Also, we obtain conditions on a submanifold of a Riemannian <em>h</em>-almost Ricci soliton to be an <em>h</em>-almost Ricci soliton. Finally, we classify <em>h</em>-almost Ricci soliton on Euclidean hypersurface with <em>λ</em> = <em>h</em>.
ISSN:2473-6988

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