Cartan's magic formula and soap film structures

DOI10.1007/BF02921865zbMath1057.49033arXivmath/0401015MaRDI QIDQ1431373

Jenny Harrison

Publication date: 8 June 2004

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

Full work available at URL: https://arxiv.org/abs/math/0401015

zbMATH Keywords

lower semicontinuitysoap filmchainlet

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items (3)

Soap film solutions to Plateau's problem ⋮ Operator calculus of differential chains and differential forms ⋮ On Plateau's problem for soap films with a bound on energy

Cites Work

• Isomorphisms of differential forms and cochains
• Continuity of the integral as a function of the domain
• On Plateau's problem for soap films with a bound on energy
• Soap films and covering spaces
• Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
• Normal and integral currents
• Solution of the Problem of Plateau
• Flat Chains Over a Finite Coefficient Group
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