A historical account on characterizations of \(C^1\)-manifolds in Euclidean spaces by tangent cones

DOI10.1016/j.jmaa.2013.10.035zbMath1312.53004OpenAlexW2080803763WikidataQ110224554 ScholiaQ110224554MaRDI QIDQ2019079

Francesco Bigolin, Sebastiano Nicolussi Golo

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.035

zbMATH Keywords

differentiabilityClarke tangent conetangent conestangencyBouligand tangent conesPeano tangent conesSeveri tangent cones\(C^1\)-manifoldsparatangency

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) History of mathematics in the 20th century (01A60) History of differential geometry (53-03)

Related Items (3)

Tangent cones and \(C^{1}\) regularity of definable sets ⋮ Geometric characterizations of \(C^1\) manifolds in Euclidean spaces by tangent cones ⋮ Characterization of the Clarke regularity of subanalytic sets

Cites Work

• Geometric characterizations of \(C^1\) manifolds in Euclidean spaces by tangent cones
• Geometric characterization of differentiable manifolds in Euclidean space. II
• Application des propriétés descriptives de la fonction contingent à la théorie des fonctions de variable réelle et à la géométrie différentielle des variétés cartesiennes
• Tangency vis-a'-vis differentiability by Peano, Severi and Guareschi
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