Research article

h-Almost Ricci solitons with concurrent potential fields

  • 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.

    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

    Related Papers:

  • 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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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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