Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone

DOI10.4171/IFB/407zbMath1417.49053arXiv1705.09122OpenAlexW2962791646WikidataQ128982686 ScholiaQ128982686MaRDI QIDQ1711350

Maurizio Paolini, Franco Pasquarelli, Giovanni Bellettini

Publication date: 17 January 2019

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09122

zbMATH Keywords

covering spacesPlateau problemsoap films

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Minimal surfaces and optimization (49Q05)

Related Items (2)

Covers, soap films and BV functions ⋮ Calibrations for minimal networks in a covering space setting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An immersed soap film of genus one
• Constrained BV functions on covering spaces for minimal networks and Plateau's type problems
• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Soap-film-like minimal surfaces spanning knots
• The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
• Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
• Soap films and covering spaces
• Existence of minimizers for the Reifenberg Plateau problem
• Conelike soap films spanning tetrahedra
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

This page was built for publication: Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone