Article ID Journal Published Year Pages File Type
6418538 Journal of Mathematical Analysis and Applications 2014 14 Pages PDF
Abstract

A historical account on characterizations of C1-manifolds in Euclidean spaces by tangent cones is provided. Old characterizations of smooth manifold (by tangent cones), due to Valiron (1926, 1927) and Severi (1929, 1934) are recovered; modern characterizations, due to Gluck (1966, 1968) and Tierno (1997) are restated. All these results are consequences of the Four-cones coincidence theorem due to [1].

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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