Geodesics and soap bubbles in surfaces

DOI10.1007/PL00004560zbMath0865.53009MaRDI QIDQ5961423

Frank Morgan, Joel Hass

Publication date: 20 February 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174916

zbMATH Keywords

minimal lengthcurves bounding certain domains

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (5)

Unnamed Item ⋮ Geodesics, soap bubbles and pattern formation in Riemannian surfaces ⋮ Geodesic nets on the 2-sphere ⋮ Instability of the wet \(X\) soap film ⋮ The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature

Cites Work

• On the existence and regularity of fundamental domains with least boundary area
• On Poincaré's isoperimetric problem for simple closed geodesics
• Poincaré's problem and the length of the shortest closed geodesic on a convex hypersurface
• The structure of area-minimizing double bubbles
• Soap bubbles in \(\mathbb{R}^ 2\) and in surfaces
• Instability of the wet \(X\) soap film
• Geodesic nets on the 2-sphere
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Mathematicians, Including Undergraduates, Look at Soap Bubbles
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