A Note on 3-quasi-Sasakian Geometry

TL;DR

This paper reviews geometric properties of 3-quasi-Sasakian manifolds, highlighting their relevance to physical applications and unifying aspects of 3-Sasakian and 3-cosymplectic geometries.

Contribution

It provides a concise review of geometric features of 3-quasi-Sasakian manifolds, emphasizing their potential in physical contexts.

Findings

Unification of 3-Sasakian and 3-cosymplectic geometries

Identification of geometric properties relevant to physics

Clarification of the structure of almost 3-contact metric manifolds

Abstract

3-quasi-Sasakian manifolds were recently studied by the authors as a suitable setting unifying 3-Sasakian and 3-cosymplectic geometries. In this paper some geometric properties of this class of almost 3-contact metric manifolds are briefly reviewed, with an emphasis on those more related to physical applications.