On Typical Compact Submanifolds of the Euclidean Space

被引：0
|
作者：
R. Mirzaie
机构：
[1] Imam Khomeini International University,
来源：
Ukrainian Mathematical Journal | 2013年 / 65卷
关键词：
Compact Manifold; Hausdorff Dimension; Dense Subset; Typical Element; Banach Theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown that typical compact submanifolds of Rn are nowhere differentiable with integer box dimensions.
引用
收藏
页码：1126 / 1133
页数：7
相关论文
共 50 条
  • [31] On the Affine Gauss Maps of Submanifolds of Euclidean Space
    Henri Anciaux
    Pierre Bayard
    Bulletin of the Brazilian Mathematical Society, New Series, 2019, 50 : 137 - 165
  • [32] Submanifolds of positive Ricci curvature in a Euclidean space
    Deshmukh, Sharief
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2008, 187 (01) : 59 - 65
  • [33] Conformal vector fields on submanifolds of a Euclidean space
    Alohali, Hanan
    Alodan, Haila
    Deshmukh, Sharief
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2017, 91 (1-2): : 217 - 233
  • [34] Local Conditions for Triangulating Submanifolds of Euclidean Space
    Jean-Daniel Boissonnat
    Ramsay Dyer
    Arijit Ghosh
    Andre Lieutier
    Mathijs Wintraecken
    Discrete & Computational Geometry, 2021, 66 : 666 - 686
  • [35] Reducibility of complex submanifolds of the complex euclidean space
    Antonio J. Di Scala
    Mathematische Zeitschrift, 2000, 235 : 251 - 257
  • [36] Submanifolds of positive Ricci curvature in a Euclidean space
    Sharief Deshmukh
    Annali di Matematica Pura ed Applicata, 2008, 187 : 59 - 65
  • [37] Complete minimal submanifolds with nullity in Euclidean space
    Marcos Dajczer
    Theodoros Kasioumis
    Andreas Savas-Halilaj
    Theodoros Vlachos
    Mathematische Zeitschrift, 2017, 287 : 481 - 491
  • [38] On the nonexistence of stable currents in submanifolds of a Euclidean space
    Zhang, XS
    TOHOKU MATHEMATICAL JOURNAL, 2004, 56 (04) : 491 - 499
  • [39] Complete minimal submanifolds with nullity in Euclidean space
    Dajczer, Marcos
    Kasioumis, Theodoros
    Savas-Halilaj, Andreas
    Vlachos, Theodoros
    MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) : 481 - 491
  • [40] SUBMANIFOLDS OF HUA DOMAINS AND THE COMPLEX EUCLIDEAN SPACE
    Ma, Huibo
    Hao, Yihong
    Cheng, Xiaoliang
    HOUSTON JOURNAL OF MATHEMATICS, 2023, 49 (04): : 785 - 794
12345