Saratov State University
Abstract: In this paper, the notion of an almost contact Kählerian structure is introduced. The intrinsic geometry of almost contact Kählerian spaces is investigated. On the zero-curvature distribution of an almost contact metric structure, as on the total space of a vector bundle, an almost contact Kählerian structure is obtained.
Keywords: Intrinsic connection, extended connection, integrable admissible tensorial structure, almost contact Kählerian space, zero-curvature distribution.
Classification (MSC2000): 53D15; 70G45
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