On some geometric properties of currents and Frobenius theorem

DOI10.4171/RLM/788zbMath1380.58002arXiv1705.09938MaRDI QIDQ1687610

Giovanni Alberti, Annalisa Massaccesi

Publication date: 4 January 2018

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09938

zbMATH Keywords

normal currentsfoliationsFrobenius theoremintegral currentsdecomposition of normal currentsnon-involutive distributionsSobolev surfaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Sub-Riemannian geometry (53C17) Vector distributions (subbundles of the tangent bundles) (58A30) Currents in global analysis (58A25)

Related Items (2)

On the commutativity of flows of rough vector fields ⋮ On the geometric structure of currents tangent to smooth distributions

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