Double bubbles in \(\mathbb S^3\) and \(\mathbb H^3\)

DOI10.1007/BF02930720zbMath1118.53039arXiv0811.3413WikidataQ58048389 ScholiaQ58048389MaRDI QIDQ883208

N. E. Zubov

Publication date: 4 June 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3413

zbMATH Keywords

isoperimetric problemdouble bubble conjecture

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Weak approach to planar soap bubble clusters ⋮ The double-bubble problem on the square lattice ⋮ The Gaussian double-bubble and multi-bubble conjectures

Cites Work

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• The structure of area-minimizing double bubbles
• Proof of the double bubble conjecture
• The double bubble problem in spherical and hyperbolic space
• Proof of the double bubble conjecture in \(\mathbb{R}^4\) and certain higher dimensional cases.
• Beweis der isoperimetrischen Eigenschaft der Kugel im hyperbolischen und sphärischen Raum jeder Dimensionszahl
• Double Bubbles in the Three-Torus

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