Conformal vector fields on f -cosymplectic manifolds
Filomat, Tome 37 (2023) no. 17, p. 5649
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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.
Classification :
53C25, 53E20
Keywords: f -cosymplectic manifolds, conformal vector fields, Homothetic vector fields, Infinitesimal strict contact transformation, Ricci-Yamabe solitons
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
@article{10_2298_FIL2317649S,
author = {Arpan Sardar and Uday C and and De and Young Jin Suh},
title = {Conformal vector fields on f -cosymplectic manifolds},
journal = {Filomat},
pages = {5649 },
year = {2023},
volume = {37},
number = {17},
doi = {10.2298/FIL2317649S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317649S/}
}
TY - JOUR AU - Arpan Sardar AU - Uday C AU - and De AU - Young Jin Suh TI - Conformal vector fields on f -cosymplectic manifolds JO - Filomat PY - 2023 SP - 5649 VL - 37 IS - 17 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2317649S/ DO - 10.2298/FIL2317649S LA - en ID - 10_2298_FIL2317649S ER -
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