Einstein solitons with unit geodesic potential vector field

Adara M. Blaga; Sharief Deshmukh; Adara M. Blaga; Sharief Deshmukh

doi:10.3934/math.2021462

AIMS Mathematics

2021, Volume 6, Issue 8: 7961-7970. doi: 10.3934/math.2021462

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Research article

Einstein solitons with unit geodesic potential vector field

Adara M. Blaga ^{1
,
,},
Sharief Deshmukh ²

1.
Department of Mathematics, West University of Timişoara, Bd. V. Pârvan, No. 4, Timişoara 300223, România
2.
Department of Mathematics, College of Science, King Saud University, P. O. Box-2455, Riyadh 11451, Saudi Arabia

Received: 01 April 2021 Accepted: 17 May 2021 Published: 20 May 2021
MSC : 53C21, 53E99

We obtain some results on almost Einstein solitons with unit geodesic potential vector field and provide necessary and sufficient conditions for the soliton to be trivial.
- Einstein soliton,
- trivial soliton,
- unit geodesic vector field
Citation: Adara M. Blaga, Sharief Deshmukh. Einstein solitons with unit geodesic potential vector field[J]. AIMS Mathematics, 2021, 6(8): 7961-7970. doi: 10.3934/math.2021462

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Abstract

We obtain some results on almost Einstein solitons with unit geodesic potential vector field and provide necessary and sufficient conditions for the soliton to be trivial.

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