Einstein solitons with unit geodesic potential vector field

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.

Bibliographic Details
Main Authors: Adara M. Blaga, Sharief Deshmukh
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021462?viewType=HTML
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spelling doaj-c7f30492e53f4040bc20297a57c4a5792021-05-31T02:19:46ZengAIMS PressAIMS Mathematics2473-69882021-05-01687961797010.3934/math.2021462Einstein solitons with unit geodesic potential vector fieldAdara M. Blaga0Sharief Deshmukh11. Department of Mathematics, West University of Timişoara, Bd. V. Pârvan, No. 4, Timişoara 300223, RomâniaDepartment of Mathematics, College of Science, King Saud University, P. O. Box-2455, Riyadh 11451, Saudi ArabiaWe 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.http://www.aimspress.com/article/doi/10.3934/math.2021462?viewType=HTMLeinstein solitontrivial solitonunit geodesic vector field
collection DOAJ
language English
format Article
sources DOAJ
author Adara M. Blaga
Sharief Deshmukh
spellingShingle Adara M. Blaga
Sharief Deshmukh
Einstein solitons with unit geodesic potential vector field
AIMS Mathematics
einstein soliton
trivial soliton
unit geodesic vector field
author_facet Adara M. Blaga
Sharief Deshmukh
author_sort Adara M. Blaga
title Einstein solitons with unit geodesic potential vector field
title_short Einstein solitons with unit geodesic potential vector field
title_full Einstein solitons with unit geodesic potential vector field
title_fullStr Einstein solitons with unit geodesic potential vector field
title_full_unstemmed Einstein solitons with unit geodesic potential vector field
title_sort einstein solitons with unit geodesic potential vector field
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-05-01
description 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.
topic einstein soliton
trivial soliton
unit geodesic vector field
url http://www.aimspress.com/article/doi/10.3934/math.2021462?viewType=HTML
work_keys_str_mv AT adaramblaga einsteinsolitonswithunitgeodesicpotentialvectorfield
AT shariefdeshmukh einsteinsolitonswithunitgeodesicpotentialvectorfield
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