Conformal vector fields on f-cosymplectic manifolds

In this paper, at first we characterize f-cosymplectic manifolds admitting conformal vector fields. Next, we establish that if a 3-dimensional f -cosymplectic manifold admits a homothetic vector field V, then either the manifold is of constant sectional curvature ?f?r, V is an infinitesimal contact...

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Veröffentlicht in:Filomat 2023, Vol.37 (17), p.5649-5658
Hauptverfasser: Sardar, Arpan, De, Uday, Suh, Young
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, at first we characterize f-cosymplectic manifolds admitting conformal vector fields. Next, we establish that if a 3-dimensional f -cosymplectic manifold admits a homothetic vector field V, then either the manifold is of constant sectional curvature ?f?r, V is an infinitesimal contact transformation. Furthermore, we also investigate Ricci-Yamabe solitons with conformal vector fields on f-cosymplectic manifolds. At last, two examples are constructed to validate our outcomes
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2317649S