Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418538 | Journal of Mathematical Analysis and Applications | 2014 | 14 Pages |
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].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francesco Bigolin, Sebastiano Nicolussi Golo,