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<p>We prove an analog of the Brody lemma in the framework of Riemannian manifolds. We also present new examples of Riemannian manifolds that are hyperbolic in the sense of Kobayashi.</p>

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Properties and examples of Kobayashi hyperbolic Riemannian manifolds

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Hervé Gaussier,
  • Alexandre Sukhov

摘要

We prove an analog of the Brody lemma in the framework of Riemannian manifolds. We also present new examples of Riemannian manifolds that are hyperbolic in the sense of Kobayashi.