A historical account on characterizations of C1-manifolds in Euclidean spaces by tangent cones

被引：3
|
作者：
Bigolin, Francesco [1 ]
Golo, Sebastiano Nicolussi [2 ]
机构：
[1] Univ Trento, Dipartimento Matemat, I-38123 Povo, Italy
[2] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla 40014, Finland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期
关键词：
Tangent cones; Peano tangent cones; Bouligand tangent cones; Severi tangent cones; Clarke tangent cone; Paratangency tangency and differentiability; C-1-manifolds; GEOMETRIC CHARACTERIZATION; MANIFOLDS;
D O I：
10.1016/j.jmaa.2013.10.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 SEVER! (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]. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：63 / 76
页数：14
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