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Double bubbles in hyperbolic surfaces

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Publication:1684507
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DOI10.2140/involve.2018.11.207zbMath1375.53014OpenAlexW2767084122MaRDI QIDQ1684507

Peng Zhang

Publication date: 11 December 2017

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2018.11.207


zbMATH Keywords

hyperbolicbubblesisoperimetricperimeter-minimizing


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10) Length, area and volume in real or complex geometry (51M25)


Related Items (1)

The double-bubble problem on the square lattice




Cites Work

  • Unnamed Item
  • The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
  • Soap bubbles in \(\mathbb{R}^ 2\) and in surfaces
  • Proof of the double bubble conjecture
  • The double bubble problem in spherical and hyperbolic space
  • The Isoperimetric Problem on Surfaces
  • Isoperimetric curves on hyperbolic surfaces




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