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This article is cited in 11 scientific papers (total in 11 papers)
The Geometry of Contact Lee Forms and a Contact Analog of Ikuta's Theorem
V. F. Kirichenko, N. S. Baklashova Moscow State Pedagogical University
Abstract:
Questions of the conformal geometry of quasi-Sasakian manifolds are studied. A contact analog of Ikuta's theorem is obtained. It is proved that a regular locally conformally quasi-Sasakian structure is normal if and only if it is locally conformally cosymplectic and has closed contact form. It is shown that the Kenmotsu structures have these properties and that a structure with the above properties is a Kenmotsu structure if and only if its contact Lee form coincides with the contact form.
Keywords:
quasi-Sasakian manifold, locally conformally quasi-Sasakian structure, normal structure, locally conformally cosymplectic structure, contact Lee form, Kähler distribution.
Received: 30.08.2006 Revised: 30.01.2007
Citation:
V. F. Kirichenko, N. S. Baklashova, “The Geometry of Contact Lee Forms and a Contact Analog of Ikuta's Theorem”, Mat. Zametki, 82:3 (2007), 347–360; Math. Notes, 82:3 (2007), 309–320
Linking options:
https://www.mathnet.ru/eng/mzm3991https://doi.org/10.4213/mzm3991 https://www.mathnet.ru/eng/mzm/v82/i3/p347
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