Metric currents, differentiable structures, and Carnot groups

DOI10.2422/2036-2145.201007_003zbMath1258.30029arXiv1008.4120OpenAlexW2963962413MaRDI QIDQ2915215

Marshall Williams

Publication date: 21 September 2012

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4120

zbMATH Keywords

Carnot groupdifferentiable structuremetric current

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Nilpotent and solvable Lie groups (22E25) Analysis on metric spaces (30L99)

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Metric currents and Alberti representations ⋮ Metric currents and polylipschitz forms ⋮ An upper gradient approach to weakly differentiable cochains ⋮ Local vector measures ⋮ Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces

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