Some basic theorems on flat \(G\) chains

DOI10.1016/J.JMAA.2014.04.024zbMath1347.49073OpenAlexW2006731254MaRDI QIDQ488552

Thierry De Pauw, Robert M. Hardt

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.024

zbMATH Keywords

geometric measure theoryflat \(G\) chains

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items (7)

A multi-material transport problem with arbitrary marginals ⋮ Coefficient groups inducing nonbranched optimal transport ⋮ On the existence of mass minimizing rectifiable \(G\) chains in finite dimensional normed spaces ⋮ Regularity of area minimizing currents mod \(p\) ⋮ A Variational Approach to Single Crystals with Dislocations ⋮ Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces ⋮ Homology of Normal Chains and Cohomology of Charges

Cites Work

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• The deformation theorem for flat chains
• Rectifiability of flat chains
• Minimality of planes in normed spaces
• Normal and integral currents
• Rectifiable and flat <i>G</i> chains in a metric space
• Homology Classes of Semi-Algebraic Sets and Mass Minimization
• Topological Properties of Subanalytic Sets
• Flat Chains Over a Finite Coefficient Group
• Some Theorems on Integral Currents
• Homology of Normal Chains and Cohomology of Charges
• Currents in metric spaces

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