The Intrinsic Geometry of Almost Contact Metric Manifolds

TL;DR

This paper introduces the intrinsic geometry of almost contact metric manifolds, describes classes of such spaces, and proposes a new type called Hermitian almost contact metric spaces.

Contribution

It introduces the concept of intrinsic geometry for almost contact metric manifolds and defines a novel class called Hermitian almost contact metric spaces.

Findings

Description of classes of almost contact metric spaces

Introduction of Hermitian almost contact metric spaces

Framework for intrinsic geometry in these manifolds

Abstract

In this paper the notion of the intrinsic geometry of an almost contact metric manifold is introduced. Description of some classes of spaces with almost contact metric structures in terms of the intrinsic geometry is given. A new type of almost contact metric spaces, more precisely, Hermitian almost contact metric spaces, is introduced.