Geodesic
The Geometry of Contact Lee Forms and a Contact Analog of Ikuta's Theorem
Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 347-360

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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, locally conformally cosymplectic structure, contact Lee form, Kähler distribution.
Mots-clés : normal structure 
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     author = {V. F. Kirichenko and N. S. Baklashova},
     title = {The {Geometry} of {Contact} {Lee} {Forms} and a {Contact} {Analog} of {Ikuta's} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a2/}
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V. F. Kirichenko; N. S. Baklashova. The Geometry of Contact Lee Forms and a Contact Analog of Ikuta's Theorem. Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 347-360. http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a2/