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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 8, Pages 42–52 (Mi ivm8917)

This article is cited in 9 papers

Almost contact Kählerian manifolds of constant holomorphic sectional curvature

S. V. Galaev

Chair of Geometry, Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia

Abstract: The notion of an almost contact Kählerian structure is introduced. The holomorphic sectional curvature of a distribution of an almost contact Kählerian structure with respect to an interior metric connection is defined. The relation between the $\varphi$-sectional curvature of an almost contact Kählerian manifold and the holomorphic sectional curvature of a distribution of an almost contact Kählerian structure is found.

Keywords: interior connection, extended connection, almost contact Kählerian space, $\varphi$-sectional curvature of an almost contact Kählerian space, holomorphic sectional curvature of a distribution of an almost contact Kählerian structure.

UDC: 514.764

Received: 23.01.2013


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:8, 35–42

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