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Matematicheskie Zametki, 2008, Volume 84, Issue 6, Pages 838–850
DOI: https://doi.org/10.4213/mzm4515 (Mi mzm4515) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Invariants of Conformal Transformations of Almost Contact Metric Structures

V. F. Kirichenko, I. V. Uskorev

Moscow State Pedagogical University
Full-text PDF (477 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm4515
Abstract: The so-called structure tensors of almost contact metric structures, which play a key role in the geometry of almost contact metric structures, are explicitly calculated. The transformations of these tensors under conformal transformations of almost contact metric structures are described. The results obtained are used to study the behavior of the most interesting classes of almost contact structures under conformal transformations.
Keywords: almost contact metric structure, Hermitian metric, conformal transformation of a structure, contact manifold, Sasakian structure, Riemannian connection.
Received: 24.01.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 6, Pages 783–794
DOI: https://doi.org/10.1134/S0001434608110229
Bibliographic databases:
UDC: 515.1
Language: Russian
Citation: V. F. Kirichenko, I. V. Uskorev, “Invariants of Conformal Transformations of Almost Contact Metric Structures”, Mat. Zametki, 84:6 (2008), 838–850; Math. Notes, 84:6 (2008), 783–794
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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