Isoperimetric regions in the hyperbolic plane between parallel horocycles

zbMath1266.53038MaRDI QIDQ1925590

Márcio Fabiano da Silva

Publication date: 18 December 2012

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mjms/1352138558

zbMATH Keywords

hyperbolic planeisoperimetric problemhorocyclegeodesic halfdiskhorocycle halfdisk

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Non-Euclidean differential geometry (53A35)

Cites Work

• Unnamed Item
• Screw motion surfaces in \(\mathbb H^2 \times \mathbb R\) and \(\mathbb S^2\times \mathbb R\)
• A free boundary isoperimetric problem in hyperbolic 3-space between parallel horospheres
• Clusters minimizing area plus length of singular curves
• The Isoperimetric Problem on Surfaces
• THE ISOPERIMETRIC PROBLEM ON EUCLIDEAN, SPHERICAL, AND HYPERBOLIC SURFACES
• A variational problem for constant mean curvature surfaces with free boundary.
• Stability of a Liquid Drop Trapped Between Two Parallel Planes
• Isoperimetric curves on hyperbolic surfaces
• Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems

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