This article is cited in 14 papers

The axiom of $\Phi$-holomorphic planes in contact metric geometry

V. F. Kirichenko


Abstract: Generalized almost contact structures are introduced as a particular case of generalized almost Hermitian structures. A complete classification is obtained for reductive generalized contact metric manifolds satisfying the axiom of $\Phi$-holomorphic planes.
Bibliography: 9 titles.

UDC: 513.7

MSC: Primary 53C15, 53C25, 53C55; Secondary 53C10

Received: 20.05.1982

 English version: Mathematics of the USSR-Izvestiya, 1985, 25:1, 51–73

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