Asymmetric expansion preserves hyperbolic convexity

DOI10.1007/s00022-020-00545-4zbMath1465.52022arXiv2002.04714OpenAlexW3005727713MaRDI QIDQ2193967

Dhruv Kohli, Jeffrey M. Rabin

Publication date: 25 August 2020

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04714

zbMATH Keywords

hyperbolic planefirst fundamental formasymmetric expansion

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Spherical and hyperbolic convexity (52A55) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Cites Work

• On Jordan type inequalities for hyperbolic functions
• Local and global convexity in complete Riemannian manifolds
• Radial expansion preserves hyperbolic convexity and radial contraction preserves spherical convexity
• Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky
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