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 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 2391-5455 2391-5455 |
DOI: | 10.1515/math-2019-0056 |