On the theory of two-dimensional surfaces in Euclidean space

被引：0

作者：

Ganchiev, G ^{[1
]}

Milousheva, V ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1113, Bulgaria

来源：

TRENDS IN COMPLEX ANALYSIS, DIFFERENTIAL GEOMETRY AND MATHEMATICAL PHYSICS | 2003年

关键词：

conformal parameters; torse-forming vector field; geometric normals;

D O I：

10.1142/9789812704191_0006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the conformal representation of a two-dimensional surface in n-dimensional Euclidean space, we obtain conditions under which the normal connection of the surface is flat. We introduce the notion of geometric normal vector field and prove that the normal connection of a two-dimensional surface is flat iff the surface admits geometric normal frame fields. We find the relation between two geometric normal frame fields.

引用

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页码：41 / 50

页数：10

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