Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds

Let ( , ) be a non-Kenmotsu ( , )′-almost Kenmotsu manifold of dimension 2 + 1. In this paper, we prove that if the metric of is a *-Ricci soliton, then either is locally isometric to the product ℍ (−4)×ℝ or the potential vector field is strict infinitesimal contact transformation. Moreover, two con...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2019-07, Vol.17 (1), p.874-882
Hauptverfasser: Dai, Xinxin, Zhao, Yan, Chand De, Uday
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Sprache:eng
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Zusammenfassung:Let ( , ) be a non-Kenmotsu ( , )′-almost Kenmotsu manifold of dimension 2 + 1. In this paper, we prove that if the metric of is a *-Ricci soliton, then either is locally isometric to the product ℍ (−4)×ℝ or the potential vector field is strict infinitesimal contact transformation. Moreover, two concrete examples of ( , )′-almost Kenmotsu 3-manifolds admitting a Killing vector field and strict infinitesimal contact transformation are given.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2019-0056