Lines of curvature on surfaces immersed in ℝ4

被引：0

作者：

Gutierrez C. ^{[1
]}

Guadalupe I. ^{[3
]}

Tribuzy R. ^{[2
]}

Guíñez V. ^{[4
]}

机构：

[1] IMPA, 22460-320, Rio de Janeiro, RJ, Estrada Dona Castorina

[2] Universidade Federal do Amazonas, Departamento de Matemática, 69000, Manaus, AM

[3] IMECC - UNICAMP, Universidade Estadual de Campinas, 13083-970 Campinas, SP

[4] Universidad de Santiago de Chile, Facultad de Ciencias I. C. E., Santiago, Casilla 307

来源：

Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society | 1997年 / 28卷 / 2期

关键词：

Differential Equation; Umbilic Point; Generic Immersion;

D O I：

10.1007/BF01233393

中图分类号：

学科分类号：

摘要：

The differential equation of the lines of curvature for immersions of surfaces into ℝ4 is established. It is shown that, for a class of generic immersions of a surface into ℝ4 in the Cr-topology, r ≥ 4, all of the umbilic points are locally topologically stable. This type of umbilic points is described. © 1997, Sociedade Brasileira de Matemática.

引用

页码：233 / 251

页数：18

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