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Matematicheskie Zametki, 2016, Volume 99, Issue 1, Pages 42–54
DOI: https://doi.org/10.4213/mzm9086 (Mi mzm9086) 		 
This article is cited in 4 scientific papers (total 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
Full-text PDF (511 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9086
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.
Received: 21.03.2011
Revised: 20.01.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 1, Pages 52–62
DOI: https://doi.org/10.1134/S0001434616010065
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: V. F. Kirichenko, E. A. Pol'kina, “Contact Lie Form and Concircular Geometry of Locally Conformally Quasi-Sasakian Manifolds”, Mat. Zametki, 99:1 (2016), 42–54; Math. Notes, 99:1 (2016), 52–62
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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