Average curvature of convex curves in 𝐻²

DOI10.1090/S0002-9939-98-04047-7zbMath0891.52006OpenAlexW1562671308MaRDI QIDQ4372746

Martin J. Bridgeman

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04047-7

zbMATH Keywords

hyperbolic planeaverage curvatureconvex embedded curve

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Spherical and hyperbolic convexity (52A55) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (3)

On the average curvature of a convex curve in a surface of nonpositive Gaussian curvature ⋮ On average curvatures of convex curves in surfaces ⋮ Conformal mapping in linear time

Cites Work

• Average bending of convex pleated planes in hyperbolic three-space

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