Closed principal lines of surfaces immersed in the Euclidean 4-space

被引：7
|
作者：
Garcia, RA
Sánchez-Bringas, F
机构：
[1] Univ Fed Goias, Inst Matemat & Estatist, BR-74001970 Goiania, Go, Brazil
[2] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2002年 / 8卷 / 02期
关键词：
curvature lines; nu-principal configuration; principal cycles; Poincare map;
D O I：
10.1023/A:1015365309326
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, nu-principal cycles of surfaces immersed in R-4 are studied. In terms of geometric invariants, an integral expression for the first derivative of the Poincare mapping associated with a nu-principal cycle is obtained.
引用
收藏
页码：153 / 166
页数：14
相关论文
共 50 条
  • [41] NOTE ON ORIENTABLE SURFACES IN 4-SPACE
    TAKASE, R
    PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (07): : 424 - &
  • [42] On certain surfaces in the isotropic 4-space
    Aydin, Muhittin Evren
    Mihai, Ion
    MATHEMATICAL COMMUNICATIONS, 2017, 22 (01) : 41 - 51
  • [43] 2-Ruled hypersurfaces in Euclidean 4-space
    Altin, Mustafa
    Kazan, Ahmet
    Yoon, Dae Won
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 166
  • [44] Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-Space with Neutral Metric
    Bulca, Betul
    Milousheva, Velichka
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)
  • [45] A New Class of Bertrand Curves in Euclidean 4-Space
    Li, Yanlin
    Ucum, Ali
    Ilarslan, Kazim
    Camci, Cetin
    SYMMETRY-BASEL, 2022, 14 (06):
  • [46] Parallel surfaces in affine 4-space
    Scharlach, C
    Vrancken, L
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2003, 73 (1): : 167 - 179
  • [47] Parametrized monomial surfaces in 4-space
    Rodrigues Hernandes, M. E.
    Ruas, M. A. S.
    QUARTERLY JOURNAL OF MATHEMATICS, 2019, 70 (02): : 473 - 485
  • [48] Hyperruled surfaces in Minkowski 4-space
    Alsaner, R
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2005, 29 (A3): : 341 - 347
  • [49] A CLASSIFICATION OF ORIENTABLE SURFACES IN 4-SPACE
    NOGUCHI, H
    PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (07): : 422 - &
  • [50] An enumeration of immersed surface-links in 4-space
    Kim, Jieon
    TOPOLOGY AND ITS APPLICATIONS, 2020, 279
12345