Involutivity of distributions at points of superdense tangency with respect to normal currents

DOI10.1017/prm.2023.22OpenAlexW4360865287MaRDI QIDQ6195295

Silvano Delladio

Publication date: 13 March 2024

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2023.22

zbMATH Keywords

normal currentsFrobenius theoremintegral currentsnon-involutive distributionssuperdensity

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Fine potential theory; fine properties of sets and functions (31C40) Vector distributions (subbundles of the tangent bundles) (58A30) Classical measure theory (28Axx)

Cites Work

• On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
• Functions of class \(C^1\) subject to a Legendre condition in an enhanced density set
• On the geometric structure of currents tangent to smooth distributions
• Introduction to Smooth Manifolds
• A SHORT NOTE ON ENHANCED DENSITY SETS
• The tangency of a C^1 smooth submanifold with respect to a non-involutive C^1 distribution has no superdensity points
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