Isometry groups of nearly K\"ahler manifolds

TL;DR

This paper provides an explicit expression for the isometry groups of six-dimensional homogeneous nearly K"ahler manifolds using a less algebraic and more direct method.

Contribution

It introduces a novel, less algebraic approach to determine the isometry groups of these specific nearly K"ahler manifolds.

Findings

Explicit expressions for isometry groups obtained

Method simplifies previous algebraic approaches

Results applicable to classification of nearly K"ahler manifolds

Abstract

Through the means of an alternative and less algebraic method, an explicit expression for the isometry groups of the six-dimensional homogeneous nearly K\"ahler manifolds is provided.