The Blaschke rolling theorem in Riemannian manifolds of bounded curvature

Kostiantyn Drach

The Blaschke rolling theorem in Riemannian manifolds of bounded curvature

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arxiv 2404.02739 v3 pith:FW5RD4YG submitted 2024-04-03 math.DG math.MG

Kostiantyn Drach This is my paper · ORCID

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keywords curvatureblaschkeboundedmanifoldsriemannianrollingsharptheorem

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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.

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