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

Hamed Faraji; Shahroud Azami; Ghodratallah Fasihi-Ramandi; Hamed Faraji; Shahroud Azami; Ghodratallah Fasihi-Ramandi

doi:10.3934/math.2020269

AIMS Mathematics

2020, Volume 5, Issue 5: 4220-4228. doi: 10.3934/math.2020269

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Research article

h-Almost Ricci solitons with concurrent potential fields

Department of Pure Mathematics, Imam Khomeini International University, Qazvin, Iran

Received: 07 December 2019 Accepted: 26 March 2020 Published: 05 May 2020
MSC : 53B21, 53B20, 53C44

In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given. Also, we obtain conditions on a submanifold of a Riemannian h-almost Ricci soliton to be an h-almost Ricci soliton. Finally, we classify h-almost Ricci soliton on Euclidean hypersurface with λ = h.
- Riemannian geometry,
- concurrent vector fields,
- h-Almost Ricci soliton
Citation: Hamed Faraji, Shahroud Azami, Ghodratallah Fasihi-Ramandi. h-Almost Ricci solitons with concurrent potential fields[J]. AIMS Mathematics, 2020, 5(5): 4220-4228. doi: 10.3934/math.2020269

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Abstract

In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given. Also, we obtain conditions on a submanifold of a Riemannian h-almost Ricci soliton to be an h-almost Ricci soliton. Finally, we classify h-almost Ricci soliton on Euclidean hypersurface with λ = h.

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