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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 99, Issue 1, Pages 42–54 (Mi mzm9086)

This article is cited in 4 papers

Contact Lie Form and Concircular Geometry of Locally Conformally Quasi-Sasakian Manifolds

V. F. Kirichenko, E. A. Pol'kina

Moscow State Pedagogical University

Abstract: We introduce a class of almost contact metric structures admitting a locally concircular transformation into a quasi-Sasakian structure, namely, locally concircularly quasi-Sasakian structures. We obtain a criterion that singles out this subclass of structures from the class of locally conformally quasi-Sasakian structures. Some applications and generalizations of this result are obtained.

Keywords: almost contact structure, quasi-Sasakian structure, conformal transformation, concircular transformation, contact Lie form, quasi-Sasakian manifold.

UDC: 514.76

Received: 21.03.2011
Revised: 20.01.2015

DOI: 10.4213/mzm9086


 English version:
Mathematical Notes, 2016, 99:1, 52–62

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