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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm4515https://doi.org/10.4213/mzm4515 https://www.mathnet.ru/eng/mzm/v84/i6/p838
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Abstract page: | 635 | Full-text PDF : | 224 | References: | 98 | First page: | 9 |
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