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<p>We first establish a complete variational theory for triharmonic maps between pseudo-Riemannian manifolds. As a central application, we then characterize the stability of triharmonic CMC hypersurfaces in pseudo-Riemannian space forms. Our analysis reveals a fundamental and decisive divergence from the Riemannian setting.</p>

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Variation Theory and Stability of Triharmonic Maps in Pseudo-Riemannian Manifolds

  • 期刊论文

  • 发表日期：

    2026年8月5日

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  • Li Du,
  • Hongxin Li

摘要

We first establish a complete variational theory for triharmonic maps between pseudo-Riemannian manifolds. As a central application, we then characterize the stability of triharmonic CMC hypersurfaces in pseudo-Riemannian space forms. Our analysis reveals a fundamental and decisive divergence from the Riemannian setting.