Conformal vector fields on f -cosymplectic manifolds
Filomat, Tome 37 (2023) no. 17, p. 5649

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DOI

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 or, 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.
DOI : 10.2298/FIL2317649S
Classification : 53C25, 53E20
Keywords: f -cosymplectic manifolds, conformal vector fields, Homothetic vector fields, Infinitesimal strict contact transformation, Ricci-Yamabe solitons
Arpan Sardar; Uday C; and De; Young Jin Suh. Conformal vector fields on f -cosymplectic manifolds. Filomat, Tome 37 (2023) no. 17, p. 5649 . doi: 10.2298/FIL2317649S
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     title = {Conformal vector fields on f -cosymplectic manifolds},
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     year = {2023},
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     doi = {10.2298/FIL2317649S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317649S/}
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