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<p>In this paper, we introduce several hyperbolic concepts concerning balanced metrics, which generalize Gromov’s Kähler hyperbolicity. Then we provide a universal description and discuss the birational invariance of these classes of hyperbolic manifolds. These results suggest that the balanced-type hyperbolicity is a birational variant of the Kähler one.</p>

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On the birational invariance of balanced hyperbolic manifolds

  • 期刊论文

  • 发表日期：

    2026年3月3日

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  • Jixiang Fu,
  • Hongjie Wang,
  • Jingcao Wu

摘要

In this paper, we introduce several hyperbolic concepts concerning balanced metrics, which generalize Gromov’s Kähler hyperbolicity. Then we provide a universal description and discuss the birational invariance of these classes of hyperbolic manifolds. These results suggest that the balanced-type hyperbolicity is a birational variant of the Kähler one.