Metric currents and Alberti representations

DOI10.1016/j.jfa.2016.08.022zbMath1357.53046arXiv1403.7768OpenAlexW2964014490MaRDI QIDQ329681

Andrea Schioppa

Publication date: 21 October 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7768

zbMATH Keywords

Alberti representationsmetric currentsRademacher's theoremWeaver derivations

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

On the singular part of measures constrained by linear PDEs and applications, On the differentiability of Lipschitz functions with respect to measures in the Euclidean space, Infinitesimal structure of differentiability spaces, and metric differentiation, Metric currents and polylipschitz forms, Local vector measures, Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential, Abstract and concrete tangent modules on Lipschitz differentiability spaces, Infinitesimal hilbertianity of locally \(\mathrm{CAT}(\kappa)\)-spaces, The Lip-lip equality is stable under blow-up

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