Geodesic
On the Geometry of the Characteristic Vector of an~$\mathit{lcQS}$-Manifold
Matematičeskie zametki, Tome 92 (2012) no. 6, pp. 864-871

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We study conditions under which the characteristic vector of a normal $\mathit{lcQS}$-manifold is a torsion-forming or even a concircular vector field. We prove that the following assertions are equivalent: an $\mathit{lcQS}$-structure is normal, and its characteristic vector is a torsion-forming vector field; an $\mathit{lcQS}$-structure is normal, and its characteristic vector is a concircular vector field; an $\mathit{lcQS}$-structure is locally conformally cosymplectic and has a closed contact form.
Keywords: Sasakian structure, Riemannian manifold, contact form characteristic vector, concircular vector field, torsion-forming vector field.
Mots-clés : $\mathit{AC}$-structure, $\mathit{lcQS}$-structure 
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     author = {V. F. Kirichenko and M. A. Terpstra},
     title = {On the {Geometry} of the {Characteristic} {Vector} of an~$\mathit{lcQS}${-Manifold}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {864--871},
     publisher = {mathdoc},
     volume = {92},
     number = {6},
     year = {2012},
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V. F. Kirichenko; M. A. Terpstra. On the Geometry of the Characteristic Vector of an~$\mathit{lcQS}$-Manifold. Matematičeskie zametki, Tome 92 (2012) no. 6, pp. 864-871. http://geodesic.mathdoc.fr/item/MZM_2012_92_6_a6/