The projection of a rectifiable Legendrian set is C2-rectifiable: a simplified proof

DOI10.1017/S0308210500002298zbMath1035.53010OpenAlexW2120458662MaRDI QIDQ4804471

Silvano Delladio

Publication date: 2003

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/s0308210500002298

zbMATH Keywords

\(C^k\)-rectifiable subset of a Euclidean spaceGauss map of a hypersurfaceLegendrian subset of \(\mathbb{R}^{n+1}\times S^n\)

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

A class of one-dimensional geometric variational problem with energy involving the curvature and its derivatives: a geometric measure-theoretic approach ⋮ A criterion for \(C^2\)-rectifiability of sets ⋮ A note on Alberti's Luzin-type theorem for gradients

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