<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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| Format: | Article |
| Language: | English |
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AIMS Press
2020-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020269/fulltext.html |
| _version_ | 1818205910099558400 |
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| author | Hamed Faraji Shahroud Azami Ghodratallah Fasihi-Ramandi |
| author_facet | Hamed Faraji Shahroud Azami Ghodratallah Fasihi-Ramandi |
| author_sort | Hamed Faraji |
| collection | DOAJ |
| 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>. |
| first_indexed | 2024-12-12T04:04:38Z |
| format | Article |
| id | doaj.art-36147ab7f45a428f8913fe7a8d3661b2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T04:04:38Z |
| publishDate | 2020-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-36147ab7f45a428f8913fe7a8d3661b22022-12-22T00:38:48ZengAIMS 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 |
| 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 |
| title | <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_short | <em>h</em>-Almost Ricci solitons with concurrent potential fields |
| title_sort | em h em almost ricci solitons with concurrent potential fields |
| topic | riemannian geometry concurrent vector fields <i>h</i>-almost ricci soliton |
| url | https://www.aimspress.com/article/10.3934/math.2020269/fulltext.html |
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