Interior Geometry of Almost Contact K\"ahlerian Manifolds

TL;DR

This paper introduces the concept of almost contact K"ahlerian structures and explores their interior geometry, including their realization on zero-curvature distributions and vector bundles.

Contribution

It defines almost contact K"ahlerian structures and investigates their geometric properties, extending the understanding of these structures in differential geometry.

Findings

Almost contact K"ahlerian structures are introduced.

The interior geometry of these structures is analyzed.

Such structures can be realized on zero-curvature distributions and vector bundles.

Abstract

In this paper, the notion of an almost contact K\"ahlerian structure is introduced. The interior geometry of almost contact K\"ahlerian 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 K\"ahlerian structure is obtained.