Flat forms in Banach spaces

DOI10.1007/s12220-011-9246-4zbMath1273.28004OpenAlexW1992935642MaRDI QIDQ1948720

Marie A. Snipes

Publication date: 24 April 2013

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

Full work available at URL: https://doi.org/10.1007/s12220-011-9246-4

zbMATH Keywords

Banach spaceflat cochainflat chainflat formpartial form

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (5)

Chains and forms in compact metric spaces ⋮ An upper gradient approach to weakly differentiable cochains ⋮ Comparing chains in a Banach space ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Flat forms in metric spaces

Cites Work

• Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds
• Flat convergence for integral currents in metric spaces
• Flat chains in Banach spaces
• Quasiconformal frames
• Filling Riemannian manifolds
• Multilinear algebra. 2nd ed
• On the locally branched Euclidean metric gauge
• Isoperimetric inequalities of Euclidean type in metric spaces
• Rectifiable and flat <i>G</i> chains in a metric space
• Currents in metric spaces
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