Title of article
A historical account on characterizations of -manifolds in Euclidean spaces by tangent cones
Author/Authors
Bigolin، نويسنده , , Francesco and Golo، نويسنده , , Sebastiano Nicolussi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
14
From page
63
To page
76
Abstract
A historical account on characterizations of C 1 -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
Tangent cones , Peano tangent cones , Severi tangent cones , Clarke tangent cone , Bouligand tangent cones , Paratangency tangency and differentiability , C 1 -manifolds
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564205
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