This article is cited 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.

UDC: 515.1

Received: 24.01.2008

DOI: 10.4213/mzm4515

 English version: Mathematical Notes, 2008, 84:6, 783–794

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