<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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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
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spelling doaj-36147ab7f45a428f8913fe7a8d3661b22020-11-25T02:06:23ZengAIMS PressAIMS Mathematics2473-69882020-05-01554220422810.3934/math.2020269<em>h</em>-Almost Ricci solitons with concurrent potential fieldsHamed Faraji0Shahroud Azami1Ghodratallah Fasihi-Ramandi2Department of Pure Mathematics, Imam Khomeini International University, Qazvin, IranDepartment of Pure Mathematics, Imam Khomeini International University, Qazvin, IranDepartment of Pure Mathematics, Imam Khomeini International University, Qazvin, IranIn 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>.https://www.aimspress.com/article/10.3934/math.2020269/fulltext.htmlriemannian geometryconcurrent vector fields<i>h</i>-almost ricci soliton
collection DOAJ
language English
format Article
sources DOAJ
author Hamed Faraji
Shahroud Azami
Ghodratallah Fasihi-Ramandi
spellingShingle Hamed Faraji
Shahroud Azami
Ghodratallah Fasihi-Ramandi
<em>h</em>-Almost Ricci solitons with concurrent potential fields
AIMS Mathematics
riemannian geometry
concurrent vector fields
<i>h</i>-almost ricci soliton
author_facet Hamed Faraji
Shahroud Azami
Ghodratallah Fasihi-Ramandi
author_sort Hamed Faraji
title <em>h</em>-Almost Ricci solitons with concurrent potential fields
title_short <em>h</em>-Almost Ricci solitons with concurrent potential fields
title_full <em>h</em>-Almost Ricci solitons with concurrent potential fields
title_fullStr <em>h</em>-Almost Ricci solitons with concurrent potential fields
title_full_unstemmed <em>h</em>-Almost Ricci solitons with concurrent potential fields
title_sort <em>h</em>-almost ricci solitons with concurrent potential fields
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-05-01
description 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>.
topic riemannian geometry
concurrent vector fields
<i>h</i>-almost ricci soliton
url https://www.aimspress.com/article/10.3934/math.2020269/fulltext.html
work_keys_str_mv AT hamedfaraji emhemalmostriccisolitonswithconcurrentpotentialfields
AT shahroudazami emhemalmostriccisolitonswithconcurrentpotentialfields
AT ghodratallahfasihiramandi emhemalmostriccisolitonswithconcurrentpotentialfields
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