A criterion for \(C^2\)-rectifiability of sets

DOI10.1007/S10231-003-0075-3zbMath1223.49044OpenAlexW2262062201MaRDI QIDQ2504772

Silvano Delladio

Publication date: 28 September 2006

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-003-0075-3

zbMATH Keywords

generalized manifoldsdifferential geometrygeometric measure theoryrectifiable setsgeneralized Gauss graphsLegendrian sets

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (1)

Geometric criteria for C1,α$C^{1,\alpha }$‐rectifiability

Cites Work

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• Minimizing functionals depending on surfaces and their curvatures: A class of variational problems in the setting of generalized Gauss graphs
• First variation formula for generalized Gauss graphs
• Differential geometry of generalized submanifolds
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• Special generalized Gauss graphs and their application to minimization of functional involving curvatures.
• Slicing of generalized surfaces with curvature measures and diameter's estimate
• The projection of a rectifiable Legendrian set is C²-rectifiable: a simplified proof

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