Geodesic
A Criterion for the Concircular Mobility of Quasi-Sasakian Manifolds
Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 380-388

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The following question is considered: Which quasi-Sasakian (cosymplectic, Sasakian, or proper quasi-Sasakian) structures admit nontrivial concircular transformations of their metrics (i.e., determine Fialkow spaces), and under what conditions. It is proved that any cosymplectic manifold is a Fialkow space. Necessary and sufficient conditions for a Sasakian or a quasi-Sasakian manifold to be a Fialkow space are obtained. A fairly large class of Sasakian manifolds which are not Fialkow spaces is described.
Mots-clés : quasi-Sasakian structure
Keywords: concircular transformation of a metric, Fialkow space, cosymplectic manifold, Sasakian manifold, Kenmotsu manifold. 
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     author = {V. F. Kirichenko and E. A. Pol'kina},
     title = {A {Criterion} for the {Concircular} {Mobility} of {Quasi-Sasakian} {Manifolds}},
     journal = {Matemati\v{c}eskie zametki},
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V. F. Kirichenko; E. A. Pol'kina. A Criterion for the Concircular Mobility of Quasi-Sasakian Manifolds. Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 380-388. http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a6/