A differential equation for lines of curvature on surfaces immersed in ℝ4

被引：0

作者：

Gutierrez C. ^{[1
]}

Guadalupe I. ^{[2
]}

Tribuzy R. ^{[3
]}

Guíñez V. ^{[4
]}

机构：

[1] Departamento de Matemática, ICMC/USP - São Carlos, 13560-970, São Carlos, SP

[2] Centro Universitário do Sul de Minas- UNIS, Varginha-MG, Av. Cel. Jose Alves 256, Vila Pinto

[3] Universidade Federal do Amazonas, Departamento de Matemática, Manaus, AM, I.C.E.

[4] Departamento de Matemática, Universidad de Santiago de Chile, Santiago, Casilla 301

来源：

Qualitative Theory of Dynamical Systems | 2001年 / 2卷 / 2期

关键词：

Isothermal coordinates; Lines of curvature; Smooth immersions;

D O I：

10.1007/BF02969342

中图分类号：

学科分类号：

摘要：

We establish the differential equation of the lines of curvature for immersions of surfaces into ℝ4. From the point of view of principal lines of curvature, we show that the differential equations under consideration carry almost complete information of the immersed surface.

引用

页码：207 / 220

页数：13

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