This article is cited 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.

UDC: 517.5

Received: 30.08.2006
Revised: 30.01.2007

DOI: 10.4213/mzm3991

 English version: Mathematical Notes, 2007, 82:3, 309–320

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