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<p>We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in this sharp form, are new even in the model spaces of constant curvature.</p>

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The Blaschke Rolling Theorem in Riemannian Manifolds of Bounded Curvature

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月15日

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  • Kostiantyn Drach

摘要

We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in this sharp form, are new even in the model spaces of constant curvature.