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This article is cited in 2 scientific papers (total in 2 papers)
A Criterion for the Concircular Mobility of Quasi-Sasakian Manifolds
V. F. Kirichenko, E. A. Pol'kina Moscow State Pedagogical University
Abstract:
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.
Keywords:
quasi-Sasakian structure, concircular transformation of a metric, Fialkow space, cosymplectic manifold, Sasakian manifold, Kenmotsu manifold.
Received: 16.09.2008
Citation:
V. F. Kirichenko, E. A. Pol'kina, “A Criterion for the Concircular Mobility of Quasi-Sasakian Manifolds”, Mat. Zametki, 86:3 (2009), 380–388; Math. Notes, 86:3 (2009), 349–356
Linking options:
https://www.mathnet.ru/eng/mzm5155https://doi.org/10.4213/mzm5155 https://www.mathnet.ru/eng/mzm/v86/i3/p380
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