Interior Geometry of Almost Contact Kählerian Manifolds

Abstract

In this paper, the notion of an almost contact Kählerian structure is introduced. The interior 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.

10 pages. arXiv admin note: substantial text overlap with arXiv:1107.5532