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<p>We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem of approximating compact regular, respectively quasi-regular, Vaisman metrics by metrics induced by immersions, respectively embeddings, into Hopf manifolds.</p>

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Approximation results for compact Vaisman manifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月26日

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  • Daniele Angella,
  • Marco Miceli,
  • Giovanni Placini

摘要

We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem of approximating compact regular, respectively quasi-regular, Vaisman metrics by metrics induced by immersions, respectively embeddings, into Hopf manifolds.