The estimation of the length of a convex curve in two-dimensional Alexandrov space

zbMath1488.53222arXiv2006.15878MaRDI QIDQ5155053

Alexander A. Borisenko

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/2006.15878

zbMATH Keywords

\( \lambda \)-convex curvetwo-dimensional Aleksandrov space

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Geometric evolution equations (53E99)

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Cites Work

• Extreme properties of curves with bounded curvature on a sphere
• Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie
• About the isoperimetric property of λ-convex lunes on the Lobachevsky plane
• Reverse isoperimetric inequality in two-dimensional Alexandrov spaces
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