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<p>This work introduces a unified approach to derive explicit expressions for the isometry groups of the four six-dimensional homogeneous nearly Kähler manifolds. The method is also applicable to pseudo-Riemannian analogues of these spaces. Although some of these groups are relatively well-known, explicit descriptions are scarce in the literature and often overlooked by researchers in the field. By presenting a comprehensive method that avoids heavy algebraic computations, this study provides accessible descriptions for these isometry groups.</p>

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Isometry Groups of Nearly Kähler Manifolds

  • 期刊论文

  • 发表日期：

    2025年6月25日

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  • Mateo Anarella,
  • Michaël Liefsoens

摘要

This work introduces a unified approach to derive explicit expressions for the isometry groups of the four six-dimensional homogeneous nearly Kähler manifolds. The method is also applicable to pseudo-Riemannian analogues of these spaces. Although some of these groups are relatively well-known, explicit descriptions are scarce in the literature and often overlooked by researchers in the field. By presenting a comprehensive method that avoids heavy algebraic computations, this study provides accessible descriptions for these isometry groups.